Publicación: A POSTERIORI ANALYSIS FOR A MIXED FEM DISCRETIZATION OF THE LINEAR ELASTICITY SPECTRAL PROBLEM
Fecha
2022
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JOURNAL OF SCIENTIFIC COMPUTING
Resumen
IN THIS PAPER WE ANALYZE A POSTERIORI ERROR ESTIMATES FOR A MIXED FORMULATION OF THE LINEAR ELASTICITY EIGENVALUE PROBLEM. A POSTERIORI ESTIMATORS FOR THE NEARLY AND PERFECTLY COMPRESSIBLE ELASTICITY SPECTRAL PROBLEMS ARE PROPOSED. WITH A POST-PROCESS ARGUMENT, WE ARE ABLE TO PROVE RELIABILITY AND EFFICIENCY FOR THE PROPOSED ESTIMATORS. THE NUMERICAL METHOD IS BASED IN RAVIART-THOMAS ELEMENTS TO APPROXIMATE THE PSEUDOSTRESS AND PIECEWISE POLYNOMIALS FOR THE DISPLACEMENT. WE ILLUSTRATE OUR RESULTS WITH NUMERICAL TESTS IN TWO AND THREE DIMENSIONS.
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Palabras clave
MIXED PROBLEMS, ELASTICITY EQUATIONS, EIGENVALUE PROBLEMS, A POSTERIORI ERROR ESTIMATES
