Found 118 Documents (Results 1–100)
Low regularity error analysis for an \(H(\operatorname{div})\)-conforming discontinuous Galerkin approximation of Stokes problem. (English) Zbl 1542.65171
Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem. (English) Zbl 1543.65179
Modified \(C^0\) interior penalty analysis for fourth order Dirichlet boundary control problem and a posteriori error estimates. (English) Zbl 1540.65480
Adaptive guaranteed lower eigenvalue bounds with optimal convergence rates. (English) Zbl 1533.65213
Reviewer: Petr Sváček (Praha)
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions. (English) Zbl 1525.65120
Reviewer: Xiaodi Zhang (Zhengzhou)
Interior over-penalized enriched Galerkin methods for second order elliptic equations. (English) Zbl 07801648
The nonconforming virtual element method for Oseen’s equation using a stream-function formulation. (English) Zbl 1531.65227
Reviewer: Bülent Karasözen (Ankara)
A priori and a posteriori error analysis for semilinear problems in liquid crystals. (English) Zbl 1531.65245
Reviewer: Bülent Karasözen (Ankara)
The discontinuous Galerkin and the nonconforming ECR element approximations for an MHD Stokes eigenvalue problem. (English) Zbl 1538.65551
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation. (English) Zbl 1522.65197
Error analysis of nonconforming virtual element method for Stokes problem with low regularity. (English) Zbl 1528.65118
Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance. (English) Zbl 07715687
An hp-mixed discontinuous Galerkin method for the biharmonic eigenvalue problem. (English) Zbl 07701063
Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem. (English) Zbl 07699013
A priori and a posteriori error analysis of TDNNS method for linear elasticity problem under minimal regularity. (English) Zbl 07698941
Two discretisations of the time-dependent Bingham problem. (English) Zbl 1518.65108
Reviewer: Michele Ruggeri (Glasgow)
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity. (English) Zbl 1506.65219
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Analysis of a weak Galerkin method for second-order elliptic equations with minimal regularity on polytopal meshes. (English) Zbl 1498.65203
Discontinuous Galerkin finite element methods for one-dimensional Rosenau equation. (English) Zbl 1497.65169
Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. (English) Zbl 1501.35156
Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap. (English) Zbl 1501.65105
Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor. (English) Zbl 1524.65845
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model. (English) Zbl 1491.65096
Reviewer: Dana Černá (Liberec)
Lowest-order equivalent nonstandard finite element methods for biharmonic plates. (English) Zbl 1483.65177
A posteriori error estimates for a modified weak Galerkin finite element approximation of second order elliptic problems with DG norm. (English) Zbl 1499.65692
Nonstandard finite element methods. Abstracts from the workshop held January 10–16, 2021 (hybrid meeting). (English) Zbl 1487.00033
A priori and a posteriori error analysis of the Crouzeix-Raviart and Morley FEM with original and modified right-hand sides. (English) Zbl 1476.65294
Error analysis of Nitsche’s and discontinuous Galerkin methods of a reduced Landau-de Gennes problem. (English) Zbl 1473.65312
A new \(P_0\) weak Galerkin finite element scheme for second-order problems. (English) Zbl 1476.65295
Unified analysis of discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. (English) Zbl 1477.65225
A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality. (English) Zbl 1480.65347
Crouzeix-Raviart and Raviart-Thomas finite-element error analysis on anisotropic meshes violating the maximum-angle condition. (English) Zbl 1477.65223
Nonconforming discretizations of convex minimization problems and precise relations to mixed methods. (English) Zbl 1524.65751
A medius error analysis for nonconforming virtual element methods for Poisson and biharmonic equations. (English) Zbl 1457.65197
Reviewer: Bülent Karasözen (Ankara)
The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary. (English) Zbl 1460.76636
Reviewer: J. Manimaran (Ponda)
The two-grid and multigrid discretizations of the \(C^0\)IPG method for biharmonic eigenvalue problem. (English) Zbl 1437.65173
Convergence and quasi-optimality of an adaptive continuous interior penalty finite element method. (English) Zbl 1488.65683
Lower bounds of eigenvalues of the Stokes operator by nonconforming finite elements on local quasi-uniform grids. (English) Zbl 1488.65646
An error analysis of discontinuous finite element methods for the optimal control problems governed by Stokes equation. (English) Zbl 1417.65201
Quasi-optimal nonconforming methods for symmetric elliptic problems. II: – Overconsistency and classical nonconforming elements. (English) Zbl 1414.65037
Reviewer: Murli Gupta (Washington, D. C.)
The analogue of grad-div stabilization in DG methods for incompressible flows: limiting behavior and extension to tensor-product meshes. (English) Zbl 1440.76047
A third Strang lemma and an Aubin-Nitsche trick for schemes in fully discrete formulation. (English) Zbl 1459.65215
Reviewer: Abdallah Bradji (Annaba)
Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. (English) Zbl 1401.65132
Quasi-optimal nonconforming methods for symmetric elliptic problems. III: Discontinuous Galerkin and other interior penalty methods. (English) Zbl 1447.65164
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
An adaptive \(C^0\)IPG method for the Helmholtz transmission eigenvalue problem. (English) Zbl 1402.65147
Three first-order finite volume element methods for Stokes equations under minimal regularity assumptions. (English) Zbl 1412.65181
Reviewer: Vit Dolejsi (Praha)
Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem. (English) Zbl 1397.65296
On the Babuška-Osborn approach to finite element analysis: \(L^2\) estimates for unstructured meshes. (English) Zbl 1397.65281
Adaptive discontinuous Galerkin methods for elliptic interface problems. (English) Zbl 1397.65252
Reviewer: Abdallah Bradji (Annaba)
MSC:
65N30
Convergence of adaptive discontinuous Galerkin methods. (English) Zbl 1412.65219
Math. Comput. 87, No. 314, 2611-2640 (2018); corrigendum ibid. 90, No. 328, 637-640 (2021).
Reviewer: Konstantinos Chrysafinos (Athens)
Quasi-optimal nonconforming methods for symmetric elliptic problems. I: Abstract theory. (English) Zbl 1412.65191
\(C^0\mathrm{IPG}\) adaptive algorithms for the biharmonic eigenvalue problem. (English) Zbl 1402.65146
Reviewer: Adhemar Bultheel (Leuven)
Optimal convergence rates for adaptive lowest-order discontinuous Petrov-Galerkin schemes. (English) Zbl 1395.65140
Reviewer: Dana Černá (Liberec)
Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-problem. (English) Zbl 1392.35116
An improved a priori error analysis of Nitsche’s method for Robin boundary conditions. (English) Zbl 1448.65241
Gradient recovery for elliptic interface problem. II: Immersed finite element methods. (English) Zbl 1415.65256
Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough data. (English) Zbl 1421.65030
Reviewer: Vit Dolejsi (Praha)
On finite element formulations for the obstacle problem – mixed and stabilised methods. (English) Zbl 1380.65114
Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. (English) Zbl 1376.65145
Convergence analysis of a modified weak Galerkin finite element method for Signorini and obstacle problems. (English) Zbl 1376.65103
Reviewer: Hans Benker (Merseburg)
A \(C^0 \mathrm{IPG}\) method and its error estimates for the Helmholtz transmission eigenvalue problem. (English) Zbl 1370.65068
Discontinuous finite element methods for interface problems: robust a priori and a posteriori error estimates. (English) Zbl 1359.65248
A \(C^0\) interior penalty method for the Dirichlet control problem governed by biharmonic operator. (English) Zbl 1357.65082
Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity. (English) Zbl 1381.74207
A mixed discontinuous finite element method for folded Naghdi’s shell in Cartesian coordinates. (English) Zbl 1422.74094
Stable discontinuous Galerkin FEM without penalty parameters. (English) Zbl 1352.65517
Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 165-173 (2016).
MSC:
65N30
Convergence and optimality of higher-order adaptive finite element methods for eigenvalue clusters. (English) Zbl 1346.65058
Approximating gradients with continuous piecewise polynomial functions. (English) Zbl 1347.41043
Reviewer: Martin D. Buhmann (Gießen)
The nonconforming virtual element method. (English) Zbl 1343.65140
Reviewer: Pavol Chocholatý (Bratislava)
A \(C^0\) interior penalty method for a fourth-order variational inequality of the second kind. (English) Zbl 1339.65088
Reviewer: Bülent Karasözen (Ankara)
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. (English) Zbl 1333.65129
Energy norm error estimates for averaged discontinuous Galerkin methods: multidimensional case. (English) Zbl 1443.65404
Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method. (English) Zbl 1352.65552
MSC:
65N30
A framework for the error analysis of discontinuous finite element methods for elliptic optimal control problems and applications to \(C^{0}\) IP methods. (English) Zbl 1336.65110
Reviewer: Bülent Karasözen (Ankara)
On the error analysis of stabilized finite element methods for the Stokes problem. (English) Zbl 1331.76073
Discontinuous Galerkin with weakly over-penalized techniques for Reissner-Mindlin plates. (English) Zbl 1329.74269
Comparison results of nonstandard \(P_2\) finite element methods for the biharmonic problem. (English) Zbl 1327.65211
The enriched Crouzeix-Raviart elements are equivalent to the Raviart-Thomas elements. (English) Zbl 1319.65111
An optimal adaptive FEM for eigenvalue clusters. (English) Zbl 1326.65155
Reviewer: Gunther Schmidt (Berlin)
Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable. (English) Zbl 1401.65128
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