A finite element alternative to infinite elements

摘要: Abstract In this paper, a simple idea based on midpoint integration rule is utilized to solve particular class of mechanics problems; namely static problems defined unbounded domains where the solution required be accurate only in an interior (and not far field). By developing finite element mesh that approximates stiffness domain directly (without approximating far-field displacement profile first), current formulation provides superior alternative infinite elements (IEs) have long been used incorporate into method (FEM). contrast most IEs, present (a) requires no new shape functions or special rules, (b) proved both and efficient, (c) versatile enough handle large variety including those with anisotropic, stratified media convex polygonal corners. addition this, proposed model leads derivation error expression explicit correlation between parameters accuracy achieved. This can calculate given a-priori. in-turn, allows one generate efficient capable achieving desired by solving optimization problem. We formulate such problem, it use results develop practical generation methodology. methodology does require any additional computation part user, hence situations quickly near optimal models accuracy. Numerical examples involving are presented at end illustrate effectiveness method.