|
|||||
|
|
Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by $hp$-FEM |
|
| Authors: | Tomá &scaron Vejchodský & Pavel &Scaron olí n |
| Abstract: | We present a proof of the discrete maximum principle (DMP) for the 1D Poisson equation $−u''=f$ equipped with mixed Dirichlet-Neumann boundary conditions. The problem is discretized using finite elements of arbitrary lengths and polynomial degrees ($hp$-FEM). We show that the DMP holds on all meshes with no limitations to the sizes and polynomial degrees of the elements. |
| Keywords: | Discrete maximum principle $hp$-FEM Poisson equation mixed boundary conditions |
| 点击此处可从《advances in applied mathematics and mechanics.》浏览原始摘要信息 | |
