The  p ‐version of the finite element method for domains with corners and for infinite domains | Zendy

Babuška Ivo | Zendy; Oh HaeSoo | Zendy

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The p ‐version of the finite element method for domains with corners and for infinite domains

Author(s) -

Babuška Ivo,

Oh HaeSoo

Publication year - 1990

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.1690060407

Subject(s) - mathematics , finite element method , gravitational singularity , convergence (economics) , element (criminal law) , exponential function , mixed finite element method , rate of convergence , mathematical analysis , algebra over a field , calculus (dental) , pure mathematics , computer science , key (lock) , structural engineering , medicine , computer security , dentistry , political science , law , engineering , economics , economic growth

A special approach to deal with elliptic problems with singularities is introduced. It is shown that this approach, to be called an auxiliary mapping technique , in the framework of the p ‐version of the finite element method yields an exponential rate of convergence. It is also shown that this technique can deal with elliptic problems on unbounded domains in R 2 as well. (AMS(MOS) subject classifications: Primary, 65N30, 65N15.)

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