Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra
DOI10.1090/mcom/3876zbMath1527.65128arXiv2303.09143OpenAlexW4385469143MaRDI QIDQ6076237
Unnamed Author, Wenshan Yu, Weifeng Qiu, Buyang Li
Publication date: 23 October 2023
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.09143
Smoothness and regularity of solutions to PDEs (35B65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Cites Work
- Unnamed Item
- Unnamed Item
- Interface and mixed boundary value problems on \(n\)-dimensional polyhedral domains
- Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods
- Neumann and mixed problems on curvilinear polyhedra
- About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation.
- The pointwise stabilities of piecewise linear finite element method on non-obtuse tetrahedral meshes of nonconvex polyhedra
- Optimal \(W^{1,\infty}\)-estimates for an isoparametric finite element discretization of elliptic boundary value problems
- Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain
- Discrete maximum principle for finite-difference operators
- Maximum principle and uniform convergence for the finite element method
- Acute Type Refinements of Tetrahedral Partitions of Polyhedral Domains
- Finite Element Pointwise Results on Convex Polyhedral Domains
- Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems
- Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations
- Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra
- $L^\infty$-Error Estimates on Graded Meshes with Application to Optimal Control
- On Nonobtuse Simplicial Partitions
- Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
- A Weak Discrete Maximum Principle and Stability of the Finite Element Method in L ∞ on Plane Polygonal Domains. I
- On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
- Interior Estimates for Ritz-Galerkin Methods
- Interior Maximum Norm Estimates for Finite Element Methods
- Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1
- Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems
- A monotone finite element scheme for convection-diffusion equations
- Maximum-norm estimates for resolvents of elliptic finite element operators
- Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
- Error estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains
- Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra
- Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains
- Maximal regularity of multistep fully discrete finite element methods for parabolic equations
- Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra
- Weak discrete maximum principle of finite element methods in convex polyhedra
- Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations
- The Mathematical Theory of Finite Element Methods
- Localized pointwise a posteriori error estimates for gradients of piecewise linear finite element approximations to second-order quasilinear elliptic problems
This page was built for publication: Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra
