Work

A posteriori error estimates for a coupled piezoelectric model

Year: 2024

Type: article

Abstract: The paper addresses a coupled problem describing piezoelectric effects in an elastic body. In this context, we derive upper bounds for the distance between the exact solution and any approximation within the corresponding energy class of functions that satisfy the boundary conditions. These upper bounds are fully computable and do not involve mesh‐dependent constants. They vanish if and only if an approximate solution exactly matches the exact one, offering a practical measure of accuracy based on the natural energy norm associated with the studied coupled problem.

Source: PAMM

DOI: 10.1002/pamm.202400075

Authors: Ulrich Langer, Sergey Repin, Tatiana Samrowski

Institutions: Johann Radon Institute for Computational and Applied Mathematics, St. Petersburg Department of Steklov Institute of Mathematics, Steklov Mathematical Institute, ZHAW Zurich University of Applied Sciences

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4404111715

FWCI:

Cites: 17

Cited by:

Related to: 10