Error Estimator Using Higher Order FEM for an Interface Problem
نویسندگان
چکیده
منابع مشابه
Parallel Processing of Analytical Poisson-boltzmann Using Higher Order Fem
We focus on the efficient parallel processing of meshes from biomolecular data so that they can be subsequently used for FEM simulation. All mesh processing about refinements and coherent indexations are applied in parallel. The simplices of the mesh are needed for the application in FEM having higher polynomial degrees. For biomolecular data, the only inputs are the atom coordinates, the van d...
متن کاملEach averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
Averaging techniques are popular tools in adaptive finite element methods since they provide efficient a posteriori error estimates by a simple postprocessing. In the second paper of our analysis of their reliability, we consider conforming h-FEM of higher (i.e., not of lowest) order in two or three space dimensions. In this paper, reliablility is shown for conforming higher order finite elemen...
متن کاملA note on optimal multigrid convergence for higher-order FEM
Quadratic and even higher order finite elements are interesting candidates for the numerical solution of partial differential equations (PDEs) due to their improved approximation properties in comparison to linear approaches. The systems of equations that arise from the discretisation of the underlying (elliptic) PDEs are often solved by iterative solvers like preconditioned Krylow-space method...
متن کاملRecovery-Based Error Estimator for Interface Problems: Conforming Linear Elements
This paper studies a new recovery-based a posteriori error estimator for the conforming linear finite element approximation to elliptic interface problems. Instead of recovering the gradient in the continuous finite element space, the flux is recovered through a weighted L2 projection onto H(div) conforming finite element spaces. The resulting error estimator is analyzed by establishing the rel...
متن کاملMixed FEM of higher-order for time-dependent contact problems
In this paper mixed finite element methods of higher-order for time-dependent contact problems are discussed. The mixed methods are based on resolving the contact conditions by the introduction of Lagrange multipliers. Dynamic Signorini problems with and without friction are considered involving thermomechanical and rolling contact. Rothe’s method is used to provide a suitable time and space di...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2017
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2017.812127