Found 86 Documents (Results 1–86)
An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes. (English) Zbl 07901877
Uniform convergence analysis of a new adaptive upwind finite difference method for singularly perturbed convection-reaction-diffusion boundary value problems. (English) Zbl 07886674
Numerical analysis of a singularly perturbed 4th order problem with a shift term. (English) Zbl 1540.65238
The supercloseness of the finite element method for a singularly perturbed convection-diffusion problem on a Bakhvalov-type mesh in 2D. (English) Zbl 07844475
A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. (English) Zbl 1522.35220
Error estimate of BDF2 scheme on a Bakhvalov-type mesh for a singularly perturbed Volterra integro-differential equation. (English) Zbl 1535.65314
A finite difference method for a singularly perturbed 2-D elliptic convection-diffusion PDEs on Shishkin-type meshes with non-smooth convection and source terms. (English) Zbl 1530.65142
A hybrid-DG method for singularly perturbed convection-diffusion equations on pipe networks. (English) Zbl 07739206
Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation. (English) Zbl 07727123
NIPG method on Shishkin mesh for singularly perturbed convection-diffusion problem with discontinuous source term. (English) Zbl 07714952
Energy norm error estimate for singularly perturbed fourth-order differential equation with two parameters. (English) Zbl 1538.65195
Numerical analysis of a singularly perturbed convection diffusion problem with shift in space. (English) Zbl 07699034
Analysis of a second-order hybrid scheme on Bakhvalov-type meshes: the truncation-error and barrier-function approach. (English) Zbl 1522.65239
Analysis of a higher order uniformly convergent method for singularly perturbed parabolic delay problems. (English) Zbl 1511.65086
A parameter uniform higher order scheme for 2D singularly perturbed parabolic convection-diffusion problem with turning point. (English) Zbl 1540.65342
A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space. (English) Zbl 1510.65226
A new upwind difference analysis of an exponentially graded Bakhvalov-type mesh for singularly perturbed elliptic convection-diffusion problems. (English) Zbl 1497.65113
The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems. (English) Zbl 1524.65520
Error estimations in the balanced norm of finite element method on Bakhvalov-Shishkin triangular mesh for reaction-diffusion problems. (English) Zbl 1524.65837
A uniform convergence analysis for a Bakhvalov-type mesh with an explicitly defined transition point. (English) Zbl 07452101
Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 10th international conference, NUMGRID 2020 / Delaunay 130, celebrating the 130th anniversary of Boris Delaunay, Moscow, Russia, November 25–27, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 143, 213-226 (2021).
The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems. (English) Zbl 1471.65173
A modified graded mesh and higher order finite element method for singularly perturbed reaction-diffusion problems. (English) Zbl 1540.65239
A robust spline difference method for Robin-type reaction-diffusion problem using grid equidistribution. (English) Zbl 1508.65088
A parameter robust numerical method for a nonlinear system of singularly perturbed elliptic equations. (English) Zbl 1446.65141
Numerical solution with special layer adapted meshes for singularly perturbed boundary value problems. (English) Zbl 1425.65088
Dutta, Hemen (ed.) et al., Applied mathematical analysis: theory, methods, and applications. Cham: Springer. Stud. Syst. Decis. Control 177, 383-404 (2020).
MSC:
65M06
A modified graded mesh and higher order finite element approximation for singular perturbation problems. (English) Zbl 1452.65132
Analysis of the truncation error and barrier-function technique for a Bakhvalov-type mesh. (English) Zbl 1431.65115
A weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous source term. (English) Zbl 1449.65161
A parameter uniform numerical method for a nonlinear elliptic reaction-diffusion problem. (English) Zbl 1407.65246
A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem. (English) Zbl 1398.65186
A short note on the connection between layer-adapted exponentially graded and S-type meshes. (English) Zbl 1448.65228
A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time. (English) Zbl 1395.65127
Reviewer: Aziz Takhirov (Edmonton)
Convergence of local projection stabilisation finite element methods for convection-diffusion problems on layer-adapted meshes. (English) Zbl 1378.65172
Reviewer: Seenith Sivasundaram (Daytona Beach)
Exponentially graded mesh for a singularly perturbed problem with two small parameters. (English) Zbl 1370.65037
Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems. (English) Zbl 1443.74221
Preconditioning and uniform convergence for convection-diffusion problems discretized on Shishkin-type meshes. (English) Zbl 1422.65128
Analysis of a family of continuous-discontinuous Galerkin FEM for convection-diffusion problems. (English) Zbl 1351.65089
Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection-diffusion type. (English) Zbl 1443.65111
Supercloseness result of higher order FEM/LDG coupled method for solving singularly perturbed problem on S-type mesh. (English) Zbl 1470.65146
On discontinuous Galerkin finite element method for singularly perturbed delay differential equations. (English) Zbl 1314.65089
A uniform monotone alternating direction scheme for nonlinear singularly perturbed parabolic problems. (English) Zbl 1294.65086
Superconvergence using pointwise interpolation in convection-diffusion problems. (English) Zbl 1288.65155
Convergence phenomena of \(\mathcal Q_p\)-elements for convection–diffusion problems. (English) Zbl 1255.65211
Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012. (English) Zbl 1264.65116
MSC:
65L11
Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D. (English) Zbl 1249.65248
Reviewer: Roman Kohut (Ostrava)
Stability of a finite-difference discretization of a singular perturbation problem. (English) Zbl 1232.65112
Reviewer: Răzvan Răducanu (Iaşi)
Two improved algorithms and implementation for a singularly perturbed problem on moving meshes. (English) Zbl 1338.93245
Finite elements on locally uniform meshes for convection-diffusion problems with boundary layers. (English) Zbl 1228.65129
Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients. (English) Zbl 1230.65104
Reviewer: Ruxandra Stavre (Bucureşti)
Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements. (English) Zbl 1213.65138
High order parameter-robust numerical method for time dependent singularly perturbed reaction-diffusion problems. (English) Zbl 1206.65212
Reviewer: Vit Dolejsi (Praha)
High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems. (English) Zbl 1229.65129
Reviewer: Srinivasan Natesan (Assam)
Local projection stabilisation on \(S\)-type meshes for convection-diffusion problems with characteristic layers. (English) Zbl 1203.65226
Reviewer: Pavel Burda (Praha)
Continuous interior penalty method on a Shishkin mesh for convection-diffusion problems with characteristic boundary layers. (English) Zbl 1194.76116
An asymptotic finite element method for singularly perturbed third and fourth order ordinary differential equations with discontinuous source term. (English) Zbl 1193.65141
High order parameter uniform numerical method for singular perturbation problems. (English) Zbl 1119.65070
Reviewer: Srinivasan Natesan (Assam)
The layer-resolving transformation and mesh generation for quasilinear singular perturbation problems. (English) Zbl 1116.65094
Reviewer: Srinivasan Natesan (Assam)
Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem. (English) Zbl 1123.65094
Reviewer: S. Burys (Kraków)
A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous data. (English) Zbl 1109.65066
Reviewer: Srinivasan Natesan (Assam)
\(\epsilon\) -uniformly convergent fitted methods for the numerical solution of the problems arising from singularly perturbed general ddes. (English) Zbl 1109.65067
Reviewer: Srinivasan Natesan (Assam)
\(\varepsilon\)-uniformly convergent fitted mesh finite difference methods for general singular perturbation problems. (English) Zbl 1103.65084
Reviewer: Roland Pulch (Wuppertal)
Sufficient conditions for uniform convergence on layer-adapted meshes for one-dimensional reaction-diffusion problems. (English) Zbl 1082.65077
Reviewer: Narahari Parhi (Bhubaneswar)
A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. (English) Zbl 1087.65071
Reviewer: Johannes Schropp (Konstanz)
Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection-diffusion equations. (English) Zbl 1068.65101
Reviewer: Manuel Calvo (Zaragoza)
A block monotone domain decomposition algorithm for a semilinear convection–diffusion problem. (English) Zbl 1067.65142
Reviewer: Gerald W. Hedstrom (Pleasanton)
Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem. (English) Zbl 1070.65091
Reviewer: Erwin Schechter (Moers)
Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters. (English) Zbl 1043.65089
Reviewer: Iulian Coroian (Baia Mare)
HODIE finite difference schemes on generalized Shishkin meshes. (English) Zbl 1046.65064
Reviewer: J. D. P. Donnelly (Oxford)
Richardson extrapolation for a convection–diffusion problem using a Shishkin mesh. (English) Zbl 1019.65053
Reviewer: Kai Diethelm (Braunschweig)
The streamline-diffusion method for a convection–diffusion problem with a point source. (English) Zbl 1016.65054
Reviewer: Vicenţiu D.Rădulescu (Craiova)
Solution decompositions for linear convection-diffusion problems. (English) Zbl 1012.34020
Reviewer: P.Habets (Louvain-La-Neuve)
Gradient recovery for singularly perturbed boundary value problems. II: Two-dimensional convection-diffusion. (English) Zbl 1014.65122
Uniform second-order pointwise convergence of a central difference approximation for a quasilinear convection-diffusion problem. (English) Zbl 1103.65320
The \(\varepsilon\)-uniform convergence of a defect-correction method on a Shishkin mesh. (English) Zbl 0986.65070
Uniform pointwise convergence of finite difference schemes for quasilinear convection-diffusion problems. (English) Zbl 1002.76083
Filter Results by …
Document Type
- Journal Articles (84)
- Collection Articles (2)
all
top 5
Author
- Franz, Sebastian (14)
- Roos, Hans-Görg (14)
- Linß, Torsten (12)
- Boglaev, Igor P. (7)
- Nhan, Thái Anh (7)
- Vulanović, Relja (7)
- Zarin, Helena (4)
- Babu, A. Ramesh (3)
- Kaushik, Aditya (3)
- Matthies, Gunar (3)
- Patidar, Kailash C. (3)
- Brdar, Mirjana (2)
- Cen, Zhongdi (2)
- Clavero, Carmelo (2)
- Kadalbajoo, Mohan K. (2)
- Kumar, Mukesh (2)
- Kumar, Vijayant (2)
- Liao, Yige (2)
- Liu, Li-Bin (2)
- Ludwig, Lars (2)
- Natesan, Srinivasan (2)
- Rai, Pratima (2)
- Rao, S. Chandra Sekhara (2)
- Schopf, Martin (2)
- Shanthi, Vembu (2)
- Sharma, Manju (2)
- Shiromani, Ram (2)
- Zhu, Peng (2)
- Anila, S. (1)
- Chen, Yanping (1)
- Cheng, Yao (1)
- Egger, Herbert (1)
- Fröhner, Anja (1)
- Gowrisankar, S. (1)
- Gracia, José Luis (1)
- Gupta, Aastha (1)
- Hammouch, Zakia (1)
- Hardy, Matthew (1)
- Heuer, Norbert (1)
- Kaur, Deepti (1)
- Kopteva, Natalia Viktorovna (1)
- Kumar, Vivek (1)
- Lalithasree, T. (1)
- Layton, William J. (1)
- Liotati, Kleio (1)
- Liu, Tangwei (1)
- Liu, Xiaowei (1)
- Liu, Zhongli (1)
- Long, Guangqing (1)
- Mai, Vinh Quang (1)
- Mei, Yanjie (1)
- Mohapatra, Jugal (1)
- Mukherjee, Kaushik (1)
- Natividad, Maria Caridad (1)
- Pack, Sophie (1)
- Philippi, Nora (1)
- Priyadarshana, S. (1)
- Rajeev Ranjan, Kumar (1)
- Ramanujam, Narashimhan (1)
- Schneider, Dyrk (1)
- Shapira, Yair (1)
- Sharma, Amit Raj (1)
- Sharma, Kapil Kumar (1)
- Sharma, Nitika (1)
- Stynes, Martin Joseph (1)
- Teofanov, Ljiljana (1)
- Toprakseven, Şuayip (1)
- Tu, Huonian (1)
- Valanarasu, T. (1)
- Vigo-Aguiar, Jesus (1)
- Xenophontos, Christos A. (1)
- Xie, Shenglan (1)
- Yadav, Swati (1)
- Yang, Min (1)
- Yang, Yin (1)
- Yang, Yubo (1)
- Ye, Limin (1)
- Yin, Yunhui (1)
- Zhang, Chunxiao (1)
- Zhang, Jin (1)
- Zheng, Quan (1)
- Zhou, Qin (1)
all
top 5
Serial
- J. Comput. Appl. Math. (12)
- Appl. Math. Comput. (11)
- Appl. Numer. Math. (10)
- Appl. Math. Lett. (4)
- Comput. Methods Appl. Mech. Eng. (3)
- Computing (3)
- Appl. Math., Praha (3)
- Numer. Algorithms (3)
- Comput. Math. Appl. (2)
- BIT (2)
- Math. Comput. Simul. (2)
- Numer. Methods Partial Differ. Equations (2)
- Int. J. Comput. Math. (2)
- ZAMM, Z. Angew. Math. Mech. (2)
- J. Comput. Phys. (1)
- J. Math. Anal. Appl. (1)
- Math. Methods Appl. Sci. (1)
- Math. Comput. (1)
- Z. Anal. Anwend. (1)
- J. Sci. Comput. (1)
- Math. Models Methods Appl. Sci. (1)
- Appl. Math. Modelling (1)
- Linear Algebra Appl. (1)
- Comput. Appl. Math. (1)
- ETNA, Electron. Trans. Numer. Anal. (1)
- Abstr. Appl. Anal. (1)
- Novi Sad J. Math. (1)
- J. Syst. Sci. Complex. (1)
- Comput. Methods Appl. Math. (1)
- Acta Math. Sci., Ser. B, Engl. Ed. (1)
- J. Appl. Math. Comput. (1)
- Int. J. Comput. Methods (1)
- ESAIM, Math. Model. Numer. Anal. (1)
- Netw. Heterog. Media (1)
- Adv. Numer. Anal. (1)
- J. Appl. Math. Inform. (1)
- ISRN Appl. Math. (1)
