ORIGINAL PAPER
A robust Morley type conforming discontinuous galerkin method for a fourth order singular perturbation problem
Yuping Zeng,
Shangyou Zhang,
Yuping Zeng
School of Mathematics, Jiaying University, Meizhou, China
Search for more papers by this authorCorresponding Author
Shangyou Zhang
Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA
Correspondence
Shangyou Zhang, Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA.
Email: [email protected]
Search for more papers by this authorYuping Zeng,
Shangyou Zhang,
Yuping Zeng
School of Mathematics, Jiaying University, Meizhou, China
Search for more papers by this authorCorresponding Author
Shangyou Zhang
Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA
Correspondence
Shangyou Zhang, Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA.
Email: [email protected]
Search for more papers by this authorFirst published: 04 May 2025
Abstract
We propose and analyze a robust Morley type conforming discontinuous Galerkin method for a fourth order perturbation problem. Employing the medius error analysis techniques, we carefully establish a robust error estimate assuming minimal regularity conditions. More precisely, we prove the uniform convergence with respect to the perturbation parameter for the numerical methods in the energy norm. Some numerical results are also carried out to confirm the corresponding theoretical analysis.
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