Publicación: A VIRTUAL ELEMENT METHOD FOR THE ELASTICITY PROBLEM ALLOWING SMALL EDGES
Fecha
2023
Título de la revista
ISSN de la revista
Título del volumen
Editor
CALCOLO
Resumen
IN THIS PAPER WE ANALYZE A VIRTUAL ELEMENT METHOD FOR THE TWO DIMENSIONAL ELASTICITY PROBLEM ALLOWING SMALL EDGES. WITH THIS APPROACH, THE CLASSIC ASSUMPTIONS ON THE GEOMETRICAL FEATURES OF THE POLYGONAL MESHES CAN BE RELAXED. IN PARTICULAR, WE CONSIDER ONLY STAR-SHAPED POLYGONS FOR THE MESHES. SUITABLE ERROR ESTIMATES ARE PRESENTED, WHERE A RIGOROUS ANALYSIS ON THE INFLUENCE OF THE LAMÉ CONSTANTS IN EACH ESTIMATE IS PRESENTED. WE REPORT NUMERICAL TESTS TO ASSESS THE PERFORMANCE OF THE METHOD.
Descripción
Palabras clave
Error estimates, Elasticity equations, Eigenvalue problems
