Found 97 Documents (Results 1–97)
Multi-grid methods of stable generalized finite element methods for interface problems. (English) Zbl 07892983
Mass lumping of stable generalized finite element methods for parabolic interface problems. (English) Zbl 07883088
An unfitted high-order HDG method for two-fluid Stokes flow with exact NURBS geometries. (English) Zbl 07870138
Higher order stable generalized isogeometric analysis for interface problems. (English) Zbl 1542.65159
Improved enrichments and numerical integrations in SGFEM for interface problems. (English) Zbl 07756754
Anisotropic immersed finite element methods for 1D elliptic interface systems. (English) Zbl 1531.65258
Optimal a priori error estimates for elliptic interface problems: weak Galerkin mixed finite element approximations. (English) Zbl 07751608
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. (English) Zbl 1522.65214
A new Petrov-Galerkin immersed finite element method for elliptic interface problems with non-homogeneous jump conditions. (English) Zbl 1517.65118
MSC:
65N30
High-order weak Galerkin scheme for \(\mathbf{H} (\mathrm{div})\)-elliptic interface problems. (English) Zbl 1519.35116
An interface/boundary-unfitted eXtended HDG method for linear elasticity problems. (English) Zbl 07698825
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics. (English) Zbl 1539.74520
Coupling of direct discontinuous Galerkin method and natural boundary element method for exterior interface problems with curved elements. (English) Zbl 1511.65128
A posteriori error estimation and adaptive mesh refinement for parabolic interface problems using non-conforming immersed finite element method. (English) Zbl 1503.65245
An object-oriented geometric engine design for discontinuities in unfitted/immersed/enriched finite element methods. (English) Zbl 1540.74154
Virtual element methods for general linear elliptic interface problems on polygonal meshes with small edges. (English) Zbl 1524.65862
An immersed Raviart-Thomas mixed finite element method for elliptic interface problems on unfitted meshes. (English) Zbl 1490.65278
Two-grid immersed finite volume element methods for semi-linear elliptic interface problems with non-homogeneous jump conditions. (English) Zbl 1499.65623
Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces. (English) Zbl 1490.49021
A condensed generalized finite element method (CGFEM) for interface problems. (English) Zbl 1507.65256
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media. (English) Zbl 1524.65525
\(hp\)-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. (English) Zbl 1484.65295
Numerical solutions for Helmholtz equation with stochastic interface based on PML method. (English) Zbl 1479.78012
Immersed-interface finite element method based on a nonconformal Petrov-Galerkin formulation. (English) Zbl 07865378
An unfitted RBF-FD method in a least-squares setting for elliptic PDEs on complex geometries. (English) Zbl 07513847
New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions. (English) Zbl 07510256
An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries. (English) Zbl 1523.65082
Reviewer: Baasansuren Jadamba (Rochester)
An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. (English) Zbl 1475.65186
Reviewer: Vit Dolejsi (Praha)
Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions. (English) Zbl 1524.65865
Fully discrete least-squares spectral element method for parabolic interface problems. (English) Zbl 1524.65661
Robust modelling of implicit interfaces by the scaled boundary finite element method. (English) Zbl 1464.74261
A stabilized DG cut cell method for discretizing the linear transport equation. (English) Zbl 1469.65147
Reviewer: Song Jiang (Beijing)
A modified immersed finite volume element method for elliptic interface problems. (English) Zbl 1451.65174
Reviewer: Abdallah Bradji (Annaba)
A study of spectral element method for elliptic interface problems with nonsmooth solutions in \(\mathbb{R}^2\). (English) Zbl 1463.65395
A discontinuous Galerkin method by patch reconstruction for elliptic interface problem on unfitted mesh. (English) Zbl 1440.65218
A Nitsche-extended finite element method for distributed optimal control problems of elliptic interface equations. (English) Zbl 1436.49006
A stable generalized finite element method (SGFEM) of degree two for interface problems. (English) Zbl 1436.65192
Stable generalized finite element method (SGFEM) for parabolic interface problems. (English) Zbl 1464.65135
An interface penalty finite element method for elliptic interface problems on piecewise meshes. (English) Zbl 1428.65086
A stable interface-enriched formulation for immersed domains with strong enforcement of essential boundary conditions. (English) Zbl 07841259
Solving interface problems of the Helmholtz equation by immersed finite element methods. (English) Zbl 1449.65319
High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems. (English) Zbl 1422.65424
A stabilized immersed finite volume element method for elliptic interface problems. (English) Zbl 1459.74183
Time integration for extended discontinuous Galerkin methods with moving domains. (English) Zbl 07874728
Adaptive discontinuous Galerkin methods for elliptic interface problems. (English) Zbl 1397.65252
Reviewer: Abdallah Bradji (Annaba)
MSC:
65N30
Inf-sup stability of geometrically unfitted Stokes finite elements. (English) Zbl 1391.76121
Reviewer: Piotr Biler (Wrocław)
Symmetric interior penalty Galerkin approaches for two-dimensional parabolic interface problems with low regularity solutions. (English) Zbl 1376.65130
Extended discontinuous Galerkin methods for two-phase flows: the spatial discretization. (English) Zbl 07874355
Spectral element method for three dimensional elliptic problems with smooth interfaces. (English) Zbl 1439.74490
Derivation and solution of effective medium equations for bulk heterojunction organic solar cells. (English) Zbl 1380.82057
An interface-fitted mesh generator and virtual element methods for elliptic interface problems. (English) Zbl 1380.65400
Analysis of the diffuse domain method for second order elliptic boundary value problems. (English) Zbl 1371.35064
Convergence of a second-order linearized BDF-IPDG for nonlinear parabolic equations with discontinuous coefficients. (English) Zbl 1372.65275
Reviewer: Petr Sváček (Praha)
New interpolation error estimates and a posteriori error analysis for linear parabolic interface problems. (English) Zbl 1365.65211
Reviewer: Dana Černá (Liberec)
On the use of anisotropic triangles with mixed finite elements: application to an “immersed” approach for incompressible flow problems. (English) Zbl 1354.76095
Schröder, Jörg (ed.) et al., Advanced finite element technologies. Cham: Springer (ISBN 978-3-319-31923-0/hbk; 978-3-319-31925-4/ebook). CISM Courses and Lectures 566, 195-236 (2016).
Error analysis of a diffuse interface method for elliptic problems with Dirichlet boundary conditions. (English) Zbl 1348.65154
Augmented immersed finite element methods for some elliptic partial differential equations. (English) Zbl 1341.65046
Reviewer: Abdallah Bradji (Annaba)
Convergence of a linearized second-order BDF-FEM for nonlinear parabolic interface problems. (English) Zbl 1443.65229
Partially penalized immersed finite element methods for elliptic interface problems. (English) Zbl 1316.65104
Heterogeneous coupling for implicitly described domains. (English) Zbl 1382.65313
Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 809-817 (2014).
A study on unfitted 1D finite element methods. (English) Zbl 1369.65095
MSC:
65L60
Numerical approximation of elliptic interface problems via isoparametric finite element methods. (English) Zbl 1369.65150
A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity. (English) Zbl 1290.65110
Reviewer: Petr Sváček (Praha)
A stable extended FEM formulation for multi-phase problems enforcing the accuracy of the fluxes through Lagrange multipliers. (English) Zbl 1352.65491
MSC:
65N30
Convergence of finite element method for linear second-order wave equations with discontinuous coefficients. (English) Zbl 1274.65255
Finite element methods for second order linear hyperbolic interface problems. (English) Zbl 1278.65151
MSC:
65M60
Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces. (English) Zbl 1272.65093
Convergence analysis of finite element methods for \(H\) (curl; \(\Omega \))-elliptic interface problems. (English) Zbl 1268.78020
Reviewer: Johannes Elschner (Berlin)
An unfitted discontinuous Galerkin method for pore-scale simulations of solute transport. (English) Zbl 1309.76120
\(L^\infty (L^2)\) and \(L^\infty (H^1)\) norms error estimates in finite element method for linear parabolic interface problems. (English) Zbl 1215.65150
Reviewer: Ruxandra Stavre (Bucureşti)
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. (English) Zbl 1203.65227
Reviewer: Erwin Schechter (Moers)
A new multiscale finite element method for high-contrast elliptic interface problems. (English) Zbl 1202.65154
Reviewer: Erwin Schechter (Moers)
Optimal a priori estimates for higher order finite elements for elliptic interface problems. (English) Zbl 1208.65168
Reviewer: Roland Pulch (Wuppertal)
Finite element methods with numerical quadrature for elliptic problems with smooth interfaces. (English) Zbl 1189.65280
Finite element methods for semilinear elliptic and parabolic interface problems. (English) Zbl 1172.65064
Reviewer: Gunther Schmidt (Berlin)
A priori error estimates in the finite element method for nonself-adjoint elliptic and parabolic interface problems. (English) Zbl 1168.65417
On the convergence of finite element method for second order elliptic interface problems. (English) Zbl 1093.65105
Reviewer: Gerald W. Hedstrom (Pleasanton)
A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes. (English) Zbl 1066.65125
Reviewer: Răzvan Răducanu (Iaşi)
An unfitted finite element method, based on Nitsche’s method, for elliptic interface problems. (English) Zbl 1035.65125
Reviewer: Plamen Yordanov Yalamov (Russe)
Degenerate quasilinear elliptic equations arising from bimaterial problems in elastic-plastic mechanics. (English) Zbl 0965.35075
Reviewer: Georg V.Jaiani (Tbilisi)
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