Found 1,254 Documents (Results 1–100)
A pressure-residual augmented GLS stabilized method for a type of Stokes equations with nonstandard boundary conditions. (English) Zbl 07932070
MSC:
65N30
An observation about weak solutions of linear differential equations in Hilbert spaces. (English) Zbl 07930221
Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term. (English) Zbl 07927793
A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes. (English) Zbl 07925690
Weak approximations of stochastic partial differential equations with fractional noise. (English) Zbl 07924434
An ultra-weak space-time variational formulation for the Schrödinger equation. (English) Zbl 07922209
Preconditioned weak Galerkin finite element method for Poisson equation by least squares reconstruction. (English) Zbl 07920866
Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds. (English) Zbl 07917514
Analysis of weak Galerkin mixed finite element method based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes. (English) Zbl 07915986
MSC:
65M70
Convergence analysis for the wave equation discretized with hybrid methods in space (HHO, HDG and WG) and the leapfrog scheme in time. (English) Zbl 07915956
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue. (English) Zbl 07912568
MSC:
35Q92
35Q35
35Q79
92C37
92C35
92C50
76D05
76W05
80A19
74F15
35D30
35A15
65M60
65M06
65N30
92-08
A novel multi-frame image super-resolution model based on regularized nonlinear diffusion with Caputo time fractional derivative. (English) Zbl 07912567
A stabilizer free weak Galerkin finite element method for the linear elasticity equations. (English) Zbl 07908357
Finite element analysis for microscale heat equation with Neumann boundary conditions. (English) Zbl 07908211
On the superconvergence of a WG method for the elliptic problem with variable coefficients. (English) Zbl 07903800
Error analysis of serendipity virtual element methods for semilinear parabolic integro-differential equations. (English) Zbl 07902981
An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes. (English) Zbl 07901877
Analysis of two discontinuous Galerkin finite element methods for the total pressure formulation of linear poroelasticity model. (English) Zbl 1543.65154
Weak Galerkin finite element methods for optimal control problems governed by second order elliptic equations. (English) Zbl 1543.65198
Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme. (English) Zbl 07899985
A posteriori error estimate of the weak Galerkin finite element method solving the Stokes problems on polytopal meshes. (English) Zbl 07899548
Space-time FEM for the vectorial wave equation under consideration of Ohm’s law. (English) Zbl 1543.65153
A Galerkin type method for kinetic Fokker-Planck equations based on Hermite expansions. (English) Zbl 1542.65123
A stabilizer-free weak Galerkin finite element method for the Darcy-Stokes equations. (English) Zbl 07896239
An efficient spectral method for nonlinear Volterra integro-differential equations with weakly singular kernels. (English) Zbl 1542.65193
A defect correction weak Galerkin finite element method for the Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 07890930
Weak Galerkin methods for elliptic interface problems on curved polygonal partitions. (English) Zbl 07890847
Optimal \(L^2\) error estimates of stabilizer-free weak Galerkin finite element method for the drift-diffusion problem. (English) Zbl 07890840
Stability and convergence analysis of a Crank-Nicolson Galerkin scheme for the fractional Korteweg-de Vries equation. (English) Zbl 1543.35201
Discrete weak duality of hybrid high-order methods for convex minimization problems. (English) Zbl 07882247
An extension of the Morley element on general polytopal partitions using weak Galerkin methods. (English) Zbl 1543.65194
An improved partitioned time stepping method based on modified characteristic FEM for the evolutionary dual-porosity-Navier-Stokes model. (English) Zbl 07878289
Reviewer: Mária Lukácová-Medvidová (Mainz)
A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes. (English) Zbl 1541.65163
A Voigt regularization of the thermally coupled magnetohydrodynamic flow. (English) Zbl 1543.76141
Reviewer: Xiaodi Zhang (Zhengzhou)
A posteriori error estimate for a WG method of \(\boldsymbol{H}\)(curl)-elliptic problems. (English) Zbl 07873682
Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. (English) Zbl 07872155
Weak solutions for a degenerate phase-field model via Galerkin approximation. (English) Zbl 07869336
Weak convergence of the Rosenbrock semi-implicit method for semilinear parabolic SPDEs driven by additive noise. (English) Zbl 07866844
Generalized weak Galerkin finite element methods for second order elliptic problems. (English) Zbl 1541.65157
A weak Galerkin meshless method for incompressible Navier-Stokes equations. (English) Zbl 1542.65161
A posteriori error estimates of the weak Galerkin finite element methods for parabolic problems. (English) Zbl 1541.65149
A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach. (English) Zbl 1541.65166
Higher order stable generalized isogeometric analysis for interface problems. (English) Zbl 1542.65159
Weak Galerkin finite element methods for semilinear Klein-Gordon equation on polygonal meshes. (English) Zbl 07862450
A weighted combination of reproducing kernel particle shape functions with cardinal functions of scalable polyharmonic spline radial kernel utilized in Galerkin weak form of a mathematical model related to anti-angiogenic therapy. (English) Zbl 1541.92041
A low-cost, penalty parameter-free, and pressure-robust enriched Galerkin method for the Stokes equations. (English) Zbl 07859659
Robust methods for multiscale coarse approximations of diffusion models in perforated domains. (English) Zbl 1542.65181
On a biharmonic coupled system with non-standard nonlinearity: existence, blow up and numerics. (English) Zbl 1540.35424
Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets. (English) Zbl 1537.35336
A parallel finite element discretization algorithm based on grad-div stabilization for the Navier-Stokes equations. (English) Zbl 07850264
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
An ultra-weak local discontinuous Galerkin method with generalized numerical fluxes for the KdV-Burgers-Kuramoto equation. (English) Zbl 1541.65103
An entropy stable essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws. (English) Zbl 1541.65104
High order Morley elements for biharmonic equations on polytopal partitions. (English) Zbl 1536.65147
Full weak Galerkin finite element discretizations for poroelasticity problems in the primal formulation. (English) Zbl 1536.65111
Numerical solutions for biharmonic interface problems via weak Galerkin finite element methods. (English) Zbl 07834039
The uniform convergence of a weak Galerkin finite element method in the balanced norm for reaction-diffusion equation. (English) Zbl 1540.65496
A parallel iterative procedure for weak Galerkin methods for second order elliptic problems. (English) Zbl 07832932
A space-time DG method for the Schrödinger equation with variable potential. (English) Zbl 1541.65097
A conforming discontinuous Galerkin finite element method for Brinkman equations. (English) Zbl 07829095
Four-order superconvergent CDG finite elements for the biharmonic equation on triangular meshes. (English) Zbl 1534.65252
Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations. (English) Zbl 07827783
MSC:
65L03
BDM \(H (\operatorname{div})\) weak Galerkin finite element methods for Stokes equations. (English) Zbl 07827771
A locking-free weak Galerkin finite element method for linear elasticity problems. (English) Zbl 07824652
On the study of hyperbolic \(p(.)\)-bi-Laplace equation with variable exponent. (English) Zbl 1536.35217
The lowest-order weak Galerkin finite element method for linear elasticity problems on convex polygonal grids. (English) Zbl 1535.65286
A posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids. (English) Zbl 1535.65159
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Robust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flow. (English) Zbl 1531.76060
A new over-penalized weak Galerkin method. III: Convection-diffusion-reaction problems. (English) Zbl 1533.65237
A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition. (English) Zbl 1533.35326
A numerical method for singularly perturbed convection-diffusion-reaction equations on polygonal meshes. (English) Zbl 07803452
Analysis of the implicit-explicit ultra-weak discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 07803020
A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation. (English) Zbl 1534.65187
Numerical solution of the Biot/elasticity interface problem using virtual element methods. (English) Zbl 1532.65079
MSC:
65M60
65M06
65N30
65M12
65M15
65N15
74F10
74L10
74L15
76S05
35A01
35A02
35D30
74S05
74S20
35Q74
\(L^2(I;H^1(\Omega)^d)\) and \(L^2(I;L^2(\Omega)^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. (English) Zbl 1537.65134
Reviewer: Temur A. Jangveladze (Tbilisi)
Analysis and numerical approximation of stationary second-order mean field game partial differential inclusions. (English) Zbl 1531.91010
Convergence of adaptive two-grid weak Galerkin finite element methods for semilinear elliptic differential equations. (English) Zbl 1529.65120
Generating probability distributions on intervals and spheres: convex decomposition. (English) Zbl 1538.65552
A weak Galerkin finite element method for nonlinear convection-diffusion equation. (English) Zbl 07764030
A weak Galerkin finite element method for 1D semiconductor device simulation models. (English) Zbl 07756745
Supercloseness of weak Galerkin method for a singularly perturbed convection-diffusion problem in 2D. (English) Zbl 1522.65218
An efficient Legendre-Galerkin approximation for the fourth-order equation with singular potential and SSP boundary condition. (English) Zbl 07919382
An efficient hybrid boundary-type weak-form meshfree algorithm for 2D thermal analysis in inhomogeneous functionally graded materials. (English) Zbl 1539.74503
Convergence of weak Galerkin finite element method for second order linear wave equation in heterogeneous media. (English) Zbl 07814758
A space-time discontinuous Galerkin discretization for the linear transport equation. (English) Zbl 07801669
Weak Galerkin finite element methods with and without stabilizers for \(H(\operatorname{div}; \Omega)\)-elliptic problems. (English) Zbl 1532.65112
A convergent SAV scheme for Cahn-Hilliard equations with dynamic boundary conditions. (English) Zbl 1543.65157
Reviewer: Konstantinos Chrysafinos (Athína)
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes. (English) Zbl 1534.65194
A new weak Galerkin method with weakly enforced Dirichlet boundary condition. (English) Zbl 1528.65112
A posteriori error analysis for an ultra-weak discontinuous Galerkin approximations of nonlinear second-order two-point boundary-value problems. (English) Zbl 1538.65196
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