Found 3,110 Documents (Results 1–100)
Local virtual element basis functions for space-time discontinuous Galerkin schemes on unstructured Voronoi meshes. (English) Zbl 07927762
A locally conservative staggered least squares method on polygonal meshes. (English) Zbl 07926336
MSC:
65Nxx
An efficient fractional step numerical algorithm for time-delayed singularly perturbed 2D convection-diffusion-reaction problem with two small parameters. (English) Zbl 07925689
High-order convergent methods for singularly perturbed quasilinear problems with integral boundary conditions. (English) Zbl 07924836
A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes. (English) Zbl 07922783
Steady-state simulation of Euler equations by the discontinuous Galerkin method with the hybrid limiter. (English) Zbl 07922782
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex, and ball. (English) Zbl 07919855
A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem. (English) Zbl 07918285
A new robust compact difference scheme on graded meshes for the time-fractional nonlinear Kuramoto-Sivashinsky equation. (English) Zbl 07910928
Hybrid weakly over-penalised symmetric interior penalty method on anisotropic meshes. (English) Zbl 07908397
Adaptive isogeometric analysis based on locally refined Tchebycheffian B-splines. (English) Zbl 07904355
An unconventional divergence preserving finite-volume discretization of Lagrangian ideal MHD. (English) Zbl 07902371
An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes. (English) Zbl 07901877
Anisotropic weakly over-penalised symmetric interior penalty method for the Stokes equation. (English) Zbl 07900971
Efficient high-order space-angle-energy polytopic discontinuous Galerkin finite element methods for linear Boltzmann transport. (English) Zbl 07900970
A priori error estimates of a Poisson equation with Ventcel boundary conditions on curved meshes. (English) Zbl 07899523
An enriched hybrid high-order method for the Stokes problem with application to flow around submerged cylinders. (English) Zbl 07899275
A fast modified \(\overline{L1}\) finite difference method for time fractional diffusion equations with weakly singular solution. (English) Zbl 07895387
Level set-fitted polytopal meshes with application to structural topology optimization. (English) Zbl 07894792
Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information. (English) Zbl 07894766
A new nonlinear compact difference scheme for a fourth-order nonlinear Burgers type equation with a weakly singular kernel. (English) Zbl 1542.65085
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches. (English) Zbl 07889302
MSC:
65Mxx
A nonlinear compact method based on double reduction order scheme for the nonlocal fourth-order PDEs with Burgers’ type nonlinearity. (English) Zbl 07886672
Finite element method combined with time graded meshes for the time-fractional coupled Burgers’ equations. (English) Zbl 1541.65111
Electromagnetic scattering from arbitrarily shaped cavities coated by absorbing material filled with heterogeneous anisotropic media. (English) Zbl 07886283
A second-order convergent nonconforming polynomial Stokes element on quadrilateral meshes. (English) Zbl 07884776
MSC:
65N30
Coupling finite elements of class C1 on composite curved meshes for second order elliptic problems. (English) Zbl 07882692
Local structure-preserving relaxation method for equilibrium of charged systems on unstructured meshes. (English) Zbl 07881669
Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media. (English) Zbl 07880850
A modified weak Galerkin finite element method for the Maxwell equations on polyhedral meshes. (English) Zbl 1541.65163
A fourth-order accurate extrapolation nonlinear difference method for fourth-order nonlinear PIDEs with a weakly singular kernel. (English) Zbl 07878227
Unconditional error analysis of linearized BDF2 mixed virtual element method for semilinear parabolic problems on polygonal meshes. (English) Zbl 1542.65114
An upwind-mixed volume element method on changing meshes for compressible miscible displacement problem. (English) Zbl 1541.76058
Optimal polynomial meshes exist on any multivariate convex domain. (English) Zbl 1541.41009
Reviewer: Martin D. Buhmann (Gießen)
Generalizing the multiscale hybrid-mixed method for reactive-advective-diffusive equations. (English) Zbl 07875029
Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. (English) Zbl 07872155
Error analysis of a collocation method on graded meshes for a fractional Laplacian problem. (English) Zbl 07870808
MSC:
65R30
An unfitted high-order HDG method for two-fluid Stokes flow with exact NURBS geometries. (English) Zbl 07870138
Analysis of nonlinear problems using the dual mesh control domain method with arbitrary meshes. (English) Zbl 07867435
Self-consistent numerical model of mosquito dynamics with specified kinematic parameters of wing movement. (English) Zbl 07861472
An enhanced flux continuity three-dimensional finite element method for heterogeneous and anisotropic diffusion problems on general meshes. (English) Zbl 1539.65177
J. Eng. Math. 145, Paper No. 16, 43 p. (2024); correction ibid. 146, Paper No. 7, 1 p. (2024).
Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity. (English) Zbl 1539.74425
Residual-based a posteriori error estimation for mixed virtual element methods. (English) Zbl 07859667
Efficient numerical methods for semilinear one dimensional parabolic singularly perturbed convection-diffusion systems. (English) Zbl 07856315
A divergence-free hybrid finite volume / finite element scheme for the incompressible MHD equations based on compatible finite element spaces with a posteriori limiting. (English) Zbl 07856309
Estimates of CPU load unbalance in parallelizing the solution of 3D boundary value problems on quasi-structured grids. (Russian. English summary) Zbl 07855639
Numerical investigation of high-dimensional option pricing PDEs by utilizing a hybrid radial basis function – finite difference procedure. (English) Zbl 07855375
Dynamic processes calculation in composites considering internal structure using the grid-characteristic method. (English) Zbl 07853993
Energy dissipation laws of time filtered BDF methods up to fourth-order for the molecular beam epitaxial equation. (English) Zbl 1537.65109
Convergence of some difference schemes of the support operator method for repeated rotational operations. (English) Zbl 07849555
On the monotonicity of \(Q^2\) spectral element method for Laplacian on quasi-uniform rectangular meshes. (English) Zbl 1536.65139
An arbitrary Lagrangian-Eulerian discontinuous Galerkin scheme for compressible multi-material flows on adaptive quadrilateral meshes. (English) Zbl 1536.65112
An \(\alpha\)-robust and second-order accurate scheme for a subdiffusion equation. (English) Zbl 07846589
A high-order shifted boundary virtual element method for Poisson equations on 2D curved domains. (English) Zbl 1541.65155
A novel surface-derivative-free of jumps AIIM with triangulated surfaces for 3D Helmholtz interface problems. (English) Zbl 07843843
Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes. I: Steady flows. (English) Zbl 07842879
Artificial viscosity-based shock capturing scheme for the spectral difference method on simplicial elements. (English) Zbl 07842852
A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes. (English) Zbl 07839889
Enriched virtual element space on curved meshes with an application in magnetics. (English) Zbl 07839863
A stabilization-free virtual element method based on divergence-free projections. (English) Zbl 1539.65166
Temporal second-order fast finite difference/compact difference schemes for time-fractional generalized Burgers’ equations. (English) Zbl 07839670
About one spatial filtration model with non-classical law of motion in hydrate-containing environment. (Russian. English summary) Zbl 07839543
Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections. (English) Zbl 1535.41005
Reviewer: Antonio López-Carmona (Granada)
Full weak Galerkin finite element discretizations for poroelasticity problems in the primal formulation. (English) Zbl 1536.65111
Finite number of similarity classes in longest edge bisection of nearly equilateral tetrahedra. (English) Zbl 07834541
Numerical solutions for biharmonic interface problems via weak Galerkin finite element methods. (English) Zbl 07834039
Biquadratic element discrete duality finite volume method for solving elliptic equations on quadrilateral mesh. (English) Zbl 07833843
Temporal second-order fully discrete two-grid methods for nonlinear time-fractional variable coefficient diffusion-wave equations. (English) Zbl 07832806
A novel vertex-centered finite volume method for solving Richards’ equation and its adaptation to local mesh refinement. (English) Zbl 07829500
A nonlinear repair technique for the MPFA-D scheme in single-phase flow problems and heterogeneous and anisotropic media. (English) Zbl 07829495
Long time \(H^1\)-stability of fast \(\mathrm{L}2\)-\(1_\sigma\) method on general nonuniform meshes for subdiffusion equations. (English) Zbl 07829114
MSC:
65Mxx
Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type. (English) Zbl 1536.65080
A conforming discontinuous Galerkin finite element method for Brinkman equations. (English) Zbl 07829095
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
An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem. (English) Zbl 07827754
A stable and explicit fluid-structure interaction solver based on lattice-Boltzmann and immersed boundary methods. (English) Zbl 1539.76151
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes. (English) Zbl 1539.74308
MSC:
74P15
Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay. (English) Zbl 1535.65204
Stress mixed polyhedral finite elements for two-scale elasticity models with relaxed symmetry. (English) Zbl 07824636
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges. (English) Zbl 07824633
On adaptive mesh coarsening procedures for the virtual element method for two-dimensional elastic problems. (English) Zbl 1536.74282
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