Document Search Results

Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 149-156 (2023).

MSC: 65M08 65N08 65N50 76D05 35Q30

Cite Review PDF

Full Text: DOI

Quenjel, El-Houssaine; Perré, Patrick; Turner, Ian

A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology. (English) Zbl 1528.65095

Appl. Numer. Math. 192, 280-296 (2023).

MSC: 65N08 65N12

Cite Review PDF

Full Text: DOI

Luo, Longshan; Dong, Cheng

A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes. (English) Zbl 1538.65462

Comput. Math. Appl. 144, 182-197 (2023).

MSC: 65N08 76M12 65N12 65N15 65M06 35J60

Cite Review PDF

Full Text: DOI

Balvet, Guilhem; Minier, Jean-Pierre; Henry, Christophe; Roustan, Yelva; Ferrand, Martin

A time-step-robust algorithm to compute particle trajectories in 3-D unstructured meshes for Lagrangian stochastic methods. (English) Zbl 1524.76325

Monte Carlo Methods Appl. 29, No. 2, 95-126 (2023).

MSC: 76M35

Cite Review PDF

Full Text: DOI arXiv HAL

Cavalcante, T. M.; Lira Filho, R. J. M.; Souza, A. C. R.; Carvalho, D. K. E.; Lyra, P. R. M.

A multipoint flux approximation with a diamond stencil and a non-linear defect correction strategy for the numerical solution of steady state diffusion problems in heterogeneous and anisotropic media satisfying the discrete maximum principle. (English) Zbl 1504.65236

J. Sci. Comput. 93, No. 2, Paper No. 42, 15 p. (2022).

MSC: 65N06 65N12 76M20 35J05

Cite Review PDF

Full Text: DOI

Su, Shuai; Tang, Huazhong

A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes. (English) Zbl 1524.65600

Comput. Math. Appl. 108, 33-48 (2022).

MSC: 65M60 65N30 65M06 65N12 65M12 65N50 65M70 65N35 78A35 78A57 35Q60 78M10 78M22

Cite Review PDF

Full Text: DOI

Dong, Cheng; Kang, Tong

A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes. (English) Zbl 1510.65220

Appl. Math. Comput. 418, Article ID 126847, 21 p. (2022).

MSC: 65M08 35K10

Cite Review PDF

Full Text: DOI

Gander, Martin J.; Halpern, Laurence; Hubert, Florence; Krell, Stella

Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations. (English) Zbl 07836882

Moroccan J. Pure Appl. Anal. 7, No. 2, 182-213 (2021).

MSC: 65N55 65N08 35A35 65F10

Cite Review PDF

Full Text: DOI

OA License

Zhang, Na; Abushaikha, Ahmad S.

An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models. (English) Zbl 07516474

J. Comput. Phys. 446, Article ID 110665, 33 p. (2021).

MSC: 65Nxx 76Mxx 76Sxx

Cite Review PDF

Full Text: DOI

OA License

Xie, Hui; Xu, Xuejun; Zhai, Chuanlei; Yong, Heng

A positivity-preserving finite volume scheme with least square interpolation for 3D anisotropic diffusion equation. (English) Zbl 1501.65095

J. Sci. Comput. 89, No. 3, Paper No. 53, 25 p. (2021).

MSC: 65N08 65K10 65D05 65N12 65N15 35B09

Cite Review PDF

Full Text: DOI

Dong, Qiannan; Su, Shuai; Wu, Jiming

A decoupled and positivity-preserving DDFVS scheme for diffusion problems on polyhedral meshes. (English) Zbl 1473.65136

Commun. Comput. Phys. 27, No. 5, 1378-1412 (2020).

MSC: 65M08 65M22

Cite Review PDF

Full Text: DOI

Klemetsdal, Øystein S.; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas

A comparison of consistent discretizations for elliptic problems on polyhedral grids. (English) Zbl 1454.65147

Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 585-594 (2020).

MSC: 65N08 65N30 65N06 76S05 35J15 86A60 35Q35 35Q86

Cite Review PDF

Full Text: DOI

Cicuttin, Matteo; Ern, Alexandre; Gudi, Thirupathi

Hybrid high-order methods for the elliptic obstacle problem. (English) Zbl 1436.65176

J. Sci. Comput. 83, No. 1, Paper No. 8, 18 p. (2020).

Reviewer: Marius Ghergu (Dublin)

MSC: 65N30 65N15 65N12 35B45

Cite Review PDF

Full Text: DOI HAL

Terekhov, Kirill M.

Cell-centered finite-volume method for heterogeneous anisotropic poromechanics problem. (English) Zbl 1423.76308

J. Comput. Appl. Math. 365, Article ID 112357, 23 p. (2020).

MSC: 76M12 74S10 74F10 76S05

Cite Review PDF

Full Text: DOI

Xie, Hui; Zhai, Chuanlei; Xu, Xuejun; Peng, Jun; Yong, Heng

A monotone finite volume scheme with fixed stencils for 3D heat conduction equation. (English) Zbl 1473.65148

Commun. Comput. Phys. 26, No. 4, 1118-1142 (2019).

MSC: 65M08 35R05 76S05

Cite Review PDF

Full Text: DOI

Su, Shuai; Dong, Qiannan; Wu, Jiming

A vertex-centered and positivity-preserving scheme for anisotropic diffusion equations on general polyhedral meshes. (English) Zbl 1407.65251

Math. Methods Appl. Sci. 42, No. 1, 59-84 (2019).

MSC: 65N06

Cite Review PDF

Full Text: DOI

Zhukov, V. T.; Novikova, N. D.; Feodoritova, O. B.

An adaptive Chebyshev iterative method. (Russian. English summary) Zbl 1447.65177

Mat. Model. 30, No. 10, 67-85 (2018).

Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)

MSC: 65N55 65N22 65F10 65F15

Cite Review PDF

Full Text: MNR

Su, Shuai; Dong, Qiannan; Wu, Jiming

A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes. (English) Zbl 1415.65246

J. Comput. Phys. 372, 773-798 (2018).

MSC: 65N08 65N50

Cite Review PDF

Full Text: DOI

Wang, Shuai; Hang, Xudeng; Yuan, Guangwei

A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. (English) Zbl 1415.76483

J. Comput. Phys. 371, 152-167 (2018).

MSC: 76M12 76R50 65N08

Cite Review PDF

Full Text: DOI

Alkämper, Martin; Gaspoz, Fernando; Klöfkorn, Robert

A weak compatibility condition for newest vertex bisection in any dimension. (English) Zbl 1404.65247

SIAM J. Sci. Comput. 40, No. 6, A3853-A3872 (2018).

MSC: 65N30 65N50 65N12

Cite Review PDF

Full Text: DOI arXiv

Bonelle, Jérôme; Fournier, Yvan; Moulinec, Charles

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in Code_Saturne. (English) Zbl 1410.76002

Comput. Fluids 173, 93-102 (2018).

MSC: 76-04 76M25 65N50 65Y10 76S05

Cite Review PDF

Full Text: DOI

OA License

Cicuttin, M.; Di Pietro, D. A.; Ern, A.

Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. (English) Zbl 1471.74076

J. Comput. Appl. Math. 344, 852-874 (2018).

MSC: 74S99 76M99 65N99 90C90

Cite Review PDF

Full Text: DOI HAL

Kröner, Dietmar; Rokyta, Mirko

Error estimates for higher-order finite volume schemes for convection-diffusion problems. (English) Zbl 1432.76176

J. Numer. Math. 26, No. 1, 35-62 (2018).

Reviewer: Abdallah Bradji (Annaba)

MSC: 76M12 65M08 35J25 65M15 65N15 35K57 35Q35

Cite Review PDF

Full Text: DOI

Klöfkorn, Robert; Kvashchuk, Anna; Nolte, Martin

Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids. (English) Zbl 1396.76057

Comput. Geosci. 21, No. 5-6, 909-919 (2017).

MSC: 76M12 65N08 76S05 86A20

Cite Review PDF

Full Text: DOI

Wu, Jiming

Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids. (English) Zbl 1398.65224

J. Sci. Comput. 71, No. 2, 499-524 (2017).

Reviewer: K. N. Shukla (Gurgaon)

MSC: 65M08

Cite Review PDF

Full Text: DOI

Zhang, Xiaoping; Su, Shuai; Wu, Jiming

A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids. (English) Zbl 1380.65337

J. Comput. Phys. 344, 419-436 (2017).

MSC: 65N08 35Q79

Cite Review PDF

Full Text: DOI

Cancès, Clément; Guichard, Cindy

Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. (English) Zbl 1382.65267

Found. Comput. Math. 17, No. 6, 1525-1584 (2017).

MSC: 65M08 65M12 35K65

Cite Review PDF

Full Text: DOI arXiv

Kröner, Dietmar; Rokyta, Mirko

A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems. (English) Zbl 1356.65234

Bull. Braz. Math. Soc. (N.S.) 47, No. 2, 473-488 (2016).

MSC: 65N15 35J25 65N08

Cite Review PDF

Full Text: DOI

Camier, Jean-Sylvain; Hermeline, Francois

A monotone nonlinear finite volume method for approximating diffusion operators on general meshes. (English) Zbl 1352.65428

Int. J. Numer. Methods Eng. 107, No. 6, 496-519 (2016).

MSC: 65N08 65N50

Cite Review PDF

Full Text: DOI

Hermeline, F.

A discretization of the multigroup \(P_N\) radiative transfer equation on general meshes. (English) Zbl 1349.65371

J. Comput. Phys. 313, 549-582 (2016).

MSC: 65M08 35R09 45K05

Cite Review PDF

Full Text: DOI

Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle

Gradient schemes: generic tools for the numerical analysis of diffusion equations. (English) Zbl 1346.65042

ESAIM, Math. Model. Numer. Anal. 50, No. 3, 749-781 (2016).

Reviewer: Răzvan Răducanu (Iaşi)

MSC: 65M08 65M12 65M60 35K05

Cite Review PDF

Full Text: DOI arXiv

Hérard, Jean-Marc; Martin, Xavier

An integral approach to compute compressible fluid flows in domains containing obstacles. (English) Zbl 1490.76151

Int. J. Finite Vol. 12, Article ID hal-011664782, 40 p. (2015).

MSC: 76M12 35L65 76N15

Cite Review PDF

Full Text: HAL

Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle

\( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems. (English) Zbl 1540.76086

Math. Comput. Simul. 118, 186-197 (2015).

MSC: 76M10 65N30 76S05

Cite Review PDF

Full Text: DOI

Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter

Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology. (English) Zbl 1390.76052

Comput. Fluids 109, 168-184 (2015).

MSC: 76D05 76M25

Cite Review PDF

Full Text: DOI

Lemoine, A.; Caltagirone, J.-P.; Azaïez, M.; Vincent, S.

Discrete Helmholtz-Hodge decomposition on polyhedral meshes using compatible discrete operators. (English) Zbl 1329.65249

J. Sci. Comput. 65, No. 1, 34-53 (2015).

MSC: 65N06 65N12 35J25 65N50

Cite Review PDF

Full Text: DOI

Beirão da Veiga, Lourenço; Manzini, Gianmarco; Putti, Mario

Post processing of solution and flux for the nodal mimetic finite difference method. (English) Zbl 1317.65215

Numer. Methods Partial Differ. Equations 31, No. 1, 336-363 (2015).

Reviewer: Abdallah Bradji (Annaba)

MSC: 65N06 35J05 65N50

Cite Review PDF

Full Text: DOI

Eymard, R.; Gallouët, T.; Guichard, C.; Herbin, R.; Masson, R.

TP or not TP, that is the question. (English) Zbl 1378.76118

Comput. Geosci. 18, No. 3-4, 285-296 (2014).

MSC: 76T10 76M12 76M10 65M08 65M12 65M60 76S05

Cite Review PDF

Full Text: DOI HAL

Brezzi, F.; Buffa, A.; Manzini, G.

Mimetic scalar products of discrete differential forms. (English) Zbl 1352.65417

J. Comput. Phys. 257, Part B, 1228-1259 (2014).

MSC: 65N06

Cite Review PDF

Full Text: DOI

van Es, Bram; Koren, Barry; de Blank, Hugo J.

Finite-difference schemes for anisotropic diffusion. (English) Zbl 1349.82136

J. Comput. Phys. 272, 526-549 (2014).

MSC: 82C80 65M06 82D10

Cite Review PDF

Full Text: DOI Link

Ferrand, Martin; Fontaine, Jacques; Angelini, Ophélie

An anisotropic diffusion finite volume algorithm using a small stencil. (English) Zbl 1426.76363

Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer. Springer Proc. Math. Stat. 78, 577-585 (2014).

MSC: 76M12

Cite Review PDF

Full Text: DOI

Hou, Jiangyong; Sun, Shuyu; Chen, Zhangxin

Numerical comparison of robustness of some reduction methods in rough grids. (English) Zbl 1308.76167

Numer. Methods Partial Differ. Equations 30, No. 5, 1484-1506 (2014).

MSC: 76M10 76M20 65N30 76S05

Cite Review PDF

Full Text: DOI

Vidović, D.; Dotlić, M.; Dimkić, M.; Pušić, M.; Pokorni, B.

Convex combinations for diffusion schemes. (English) Zbl 1349.65584

J. Comput. Phys. 246, 11-27 (2013).

MSC: 65N08 35Q35 76M12

Cite Review PDF

Full Text: DOI

Dalissier, E.; Guichard, C.; Havé, P.; Masson, R.; Yang, C.

ComPASS: a tool for distributed parallel finite volume discretizations on general unstructured polyhedral meshes. (English. French summary) Zbl 1329.65197

ESAIM, Proc. 43, 147-163 (2013).

MSC: 65M08 65Y05 65Y15 76S05 76M12

Cite Review PDF

Full Text: DOI

Di Pietro, Daniele A.; Gratien, Jean-Marc; Prud’homme, Christophe

A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes. (English) Zbl 1262.65148

BIT 53, No. 1, 111-152 (2013).

MSC: 65N08 65N30 35J25 65N06

Cite Review PDF

Full Text: DOI HAL

Found 48 Documents (Results 1–48)

An enhanced flux continuity three-dimensional finite element method for heterogeneous and anisotropic diffusion problems on general meshes. (English) Zbl 1539.65177

A conservative and positivity-preserving method for solving anisotropic diffusion equations with deep learning. (English) Zbl 1536.65130

A mimetic interpolation-free cell-centered finite volume scheme for the 2D and 3D heterogeneous anisotropic diffusion equations. (English) Zbl 07834877

An interpolation-free cell-centered finite volume scheme for 3D anisotropic convection-diffusion equations on arbitrary polyhedral meshes. (English) Zbl 1538.65463

PolyMAC: staggered finite volume methods on general meshes for incompressible Navier-Stokes problems. (English) Zbl 1529.65025

A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology. (English) Zbl 1528.65095

A linearity-preserving diamond scheme with extended least square interpolation for the heterogeneous and anisotropic diffusion problems on polyhedral meshes. (English) Zbl 1538.65462

A time-step-robust algorithm to compute particle trajectories in 3-D unstructured meshes for Lagrangian stochastic methods. (English) Zbl 1524.76325

A multipoint flux approximation with a diamond stencil and a non-linear defect correction strategy for the numerical solution of steady state diffusion problems in heterogeneous and anisotropic media satisfying the discrete maximum principle. (English) Zbl 1504.65236

A positivity-preserving and free energy dissipative hybrid scheme for the Poisson-Nernst-Planck equations on polygonal and polyhedral meshes. (English) Zbl 1524.65600

A least squares based diamond scheme for 3D heterogeneous and anisotropic diffusion problems on polyhedral meshes. (English) Zbl 1510.65220

Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations. (English) Zbl 07836882

An implementation of mimetic finite difference method for fractured reservoirs using a fully implicit approach and discrete fracture models. (English) Zbl 07516474

A positivity-preserving finite volume scheme with least square interpolation for 3D anisotropic diffusion equation. (English) Zbl 1501.65095

A decoupled and positivity-preserving DDFVS scheme for diffusion problems on polyhedral meshes. (English) Zbl 1473.65136

A comparison of consistent discretizations for elliptic problems on polyhedral grids. (English) Zbl 1454.65147

Hybrid high-order methods for the elliptic obstacle problem. (English) Zbl 1436.65176

Cell-centered finite-volume method for heterogeneous anisotropic poromechanics problem. (English) Zbl 1423.76308

A monotone finite volume scheme with fixed stencils for 3D heat conduction equation. (English) Zbl 1473.65148

A vertex-centered and positivity-preserving scheme for anisotropic diffusion equations on general polyhedral meshes. (English) Zbl 1407.65251

An adaptive Chebyshev iterative method. (Russian. English summary) Zbl 1447.65177

A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes. (English) Zbl 1415.65246

A positivity-preserving pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces. (English) Zbl 1415.76483

A weak compatibility condition for newest vertex bisection in any dimension. (English) Zbl 1404.65247

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in Code_Saturne. (English) Zbl 1410.76002

Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming. (English) Zbl 1471.74076

Error estimates for higher-order finite volume schemes for convection-diffusion problems. (English) Zbl 1432.76176

Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids. (English) Zbl 1396.76057

Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids. (English) Zbl 1398.65224

A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids. (English) Zbl 1380.65337

Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. (English) Zbl 1382.65267

A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems. (English) Zbl 1356.65234

A monotone nonlinear finite volume method for approximating diffusion operators on general meshes. (English) Zbl 1352.65428

A discretization of the multigroup \(P_N\) radiative transfer equation on general meshes. (English) Zbl 1349.65371

Gradient schemes: generic tools for the numerical analysis of diffusion equations. (English) Zbl 1346.65042

An integral approach to compute compressible fluid flows in domains containing obstacles. (English) Zbl 1490.76151

\( \mathcal{RT}_k\) mixed finite elements for some nonlinear problems. (English) Zbl 1540.76086

Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology. (English) Zbl 1390.76052

Discrete Helmholtz-Hodge decomposition on polyhedral meshes using compatible discrete operators. (English) Zbl 1329.65249

Post processing of solution and flux for the nodal mimetic finite difference method. (English) Zbl 1317.65215

TP or not TP, that is the question. (English) Zbl 1378.76118

Mimetic scalar products of discrete differential forms. (English) Zbl 1352.65417

Finite-difference schemes for anisotropic diffusion. (English) Zbl 1349.82136

An anisotropic diffusion finite volume algorithm using a small stencil. (English) Zbl 1426.76363

Numerical comparison of robustness of some reduction methods in rough grids. (English) Zbl 1308.76167

Convex combinations for diffusion schemes. (English) Zbl 1349.65584

ComPASS: a tool for distributed parallel finite volume discretizations on general unstructured polyhedral meshes. (English. French summary) Zbl 1329.65197

A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes. (English) Zbl 1262.65148

Filter Results by …

Document Type

Author

Serial

Year of Publication

Main Field

Software