The partition of unity finite element method: basic theory and applications JM Melenk, I Babuška Computer methods in applied mechanics and engineering 139 (1-4), 289-314, 1996 | 4803 | 1996 |
The partition of unity method I Babuška, JM Melenk International journal for numerical methods in engineering 40 (4), 727-758, 1997 | 3427 | 1997 |
On generalized finite-element methods JM Melenk University of Maryland, College Park, 1995 | 548 | 1995 |
On residual-based a posteriori error estimation in hp-FEM JM Melenk, BI Wohlmuth Advances in Computational Mathematics 15, 311-331, 2001 | 277 | 2001 |
Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation JM Melenk, S Sauter SIAM Journal on Numerical Analysis 49 (3), 1210-1243, 2011 | 266 | 2011 |
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions J Melenk, S Sauter Mathematics of Computation 79 (272), 1871-1914, 2010 | 256 | 2010 |
Hp-finite element methods for singular perturbations JM Melenk Springer, 2004 | 221 | 2004 |
Optimal a priori estimates for higher order finite elements for elliptic interface problems J Li, JM Melenk, B Wohlmuth, J Zou Applied numerical mathematics 60 (1-2), 19-37, 2010 | 208 | 2010 |
Fully discrete hp-finite elements: Fast quadrature JM Melenk, K Gerdes, C Schwab Computer methods in applied mechanics and engineering 190 (32-33), 4339-4364, 2001 | 157 | 2001 |
An adaptive strategy for hp-FEM based on testing for analyticity T Eibner, JM Melenk Computational Mechanics 39, 575-595, 2007 | 126 | 2007 |
On stability of discretizations of the Helmholtz equation S Esterhazy, JM Melenk Numerical analysis of multiscale problems, 285-324, 2011 | 123 | 2011 |
The partition of unity method I Babuka, JM Melenk International Journal for Numerical Methods in Engineering 40 (4), 727-758, 1997 | 123 | 1997 |
Runge–Kutta convolution quadrature for operators arising in wave propagation L Banjai, C Lubich, JM Melenk Numerische Mathematik 119 (1), 1-20, 2011 | 115 | 2011 |
General DG-methods for highly indefinite Helmholtz problems JM Melenk, A Parsania, S Sauter Journal of Scientific Computing 57, 536-581, 2013 | 112 | 2013 |
Approximation with harmonic and generalized harmonic polynomials in the partition of unity method JM Melenk, I Babuska Computer Assisted Mechanics and Engineering Sciences 4, 607-632, 1997 | 94 | 1997 |
Approximation of integral operators by variable-order interpolation S Börm, M Löhndorf, JM Melenk Numerische Mathematik 99, 605-643, 2005 | 89 | 2005 |
Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements J Schöberl, JM Melenk, C Pechstein, S Zaglmayr IMA Journal of Numerical Analysis 28 (1), 1-24, 2008 | 87 | 2008 |
hp FEM for reaction-diffusion equations I: robust exponential convergence JM Melenk, C Schwab SIAM journal on numerical analysis 35 (4), 1520-1557, 1998 | 83 | 1998 |
hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation JM Melenk SIAM journal on numerical analysis 43 (1), 127-155, 2005 | 82 | 2005 |
Quasi-optimal convergence rate for an adaptive boundary element method M Feischl, M Karkulik, JM Melenk, D Praetorius SIAM Journal on Numerical Analysis 51 (2), 1327-1348, 2013 | 80 | 2013 |