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P-FEM
p-FEM or the p-version of the finite element method is a Numerical analysis, numerical method for solving partial differential equations. It is a discretization strategy in which the finite element mesh is fixed and the polynomial degrees of elements are increased such that the lowest polynomial degree, denoted by p_, approaches infinity. This is in contrast with the "h-version" or "h-FEM", a widely used discretization strategy, in which the polynomial degrees of elements are fixed and the mesh is refined such that the diameter of the largest element, denoted by h_ approaches zero. It was demonstrated on the basis of a linear elastic fracture mechanics problem that sequences of finite element solutions based on the p-version converge faster than sequences based on the h-version by Barna Szabó, Szabó and Mehta A. K., Mehta in 1978. The theoretical foundations of the p-version were established in a paper published Ivo Babuska, Babuška, Szabó and Katz, I. N., Katz in 1981 where it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barna Szabó
Barna A. Szabó (born September 21, 1935) is a Hungarian-American engineer and educator, noted for his contributions on the finite element method, particularly the conception and implementation of the P-FEM, p- and Hp-FEM, hp-versions of the Finite Element Method. He is a founding member and fellow of the United States Association for Computational Mechanics , an external member of the Hungarian Academy of Sciences and fellow of the St. Louis Academy of Sciences . Life Barna Aladár Szabó was born in Martonvásár, Hungary, the son of József and Gizella (Iványi) Szabó. After graduating from the Franciscan High School in Esztergom in 1954, he was admitted to the Faculty of Mining Engineering of the Technical University of Heavy Industry in Miskolc (now University of Miskolc). Following the failed Hungarian Revolution of 1956, Hungarian uprising in 1956 he emigrated to Canada, where he resumed his undergraduate studies at the University of Toronto, receiving his Bachelor of Sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |