Work

Superconvergence of Modified Nonconforming Cut Finite Element Method for Elliptic Problems

Year: 2024

Type: article

Abstract: In this work, we aim to explore the superconvergence of a modified nonconforming cut finite element method with rectangular meshes for elliptic problems. Boundary conditions are imposed via the Nitsche’s method. The superclose property is proven for rectangular meshes. Moreover, a postprocessing interpolation operator is introduced, and it is proven that the postprocessed discrete solution converges to the exact solution, with a superconvergence rate O(h3/2). Finally, numerical examples are provided to support the theoretical analysis.

Source: Mathematics

DOI: 10.3390/math12162595

Authors: Xiaoxiao He, Fei Song

Institutions: Nanjing University of Posts and Telecommunications, Nanjing Forestry University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: National Natural Science Foundation of China