The Fourier version of the Variational Theory of Complex Rays for medium-frequency acoustics

The partition of unity finite element method: Basic theory and applications

Jens Markus Melenk, Ivo Babuška · Computer Methods in Applied Mechanics and Engineering · 1996 · 3.4K citations

Computing, Computational Engineering, Computational Mechanics +13

Applied numerical analysis

Choice Reviews Online · 2005 · 1.9K citations

Natural Sciences, Mathematics, Mathematics Education +17

A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution

Ivo Babuška, Frank Ihlenburg, Ellen T. Paik et al. · Computer Methods in Applied Mechanics and Engineering · 1995 · 397 citations

Computing, Computational Engineering, Mechanical Engineering +9

Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM

Frank Ihlenburg, Ivo Babuška · SIAM Journal on Numerical Analysis · 1997 · 394 citations

Computing, Computational Engineering, Computational Mechanics +14

Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem

Olivier Cessenat, Bruno Després · SIAM Journal on Numerical Analysis · 1998 · 382 citations

Computing, Computational Engineering, Mathematics +16