An MsFEM approach enriched using Legendre polynomials

09/02/2021
by   Frederic Legoll, et al.
0

We consider a variant of the conventional MsFEM approach with enrichments based on Legendre polynomials, both in the bulk of mesh elements and on their interfaces. A convergence analysis of the approach is presented. Residue-type a posteriori error estimates are also established. Numerical experiments show a significant reduction in the error at a limited additional off-line cost. In particular, the approach developed here is less prone to resonance errors in the regime where the coarse mesh size H is of the order of the small scale ε of the oscillations.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 15

12/29/2021

An a posteriori error estimator for isogeometric analysis on trimmed geometries

Trimming consists of cutting away parts of a geometric domain, without r...
06/11/2019

Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator

In this work, we consider adaptive mesh refinement for a monolithic phas...
02/07/2020

Progress Report on Numerical Modeling of a Prototype Fuel Cell

Progress on the numerical modeling of a prototype fuel cell is reported....
07/01/2020

Nitsche's method for Kirchhoff plates

We introduce a Nitsche's method for the numerical approximation of the K...
12/10/2019

Hierarchical DWR Error Estimates for the Navier Stokes Equation: h and p Enrichment

In this work, we further develop multigoal-oriented a posteriori error e...
09/19/2020

Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations

We consider residual-based a posteriori error estimators for Galerkin-ty...
04/19/2020

A Dimension-Reduction Model for Brittle Fractures on Thin Shells with Mesh Adaptivity

In this paper we derive a new two-dimensional brittle fracture model for...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.