Numerical Analysis & Scientific Computing
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- Analysis of a predictor-corrector method for computationally efficient modeling of surface effects in 1D (2017)
Multiscale Modeling and Simulation, 15 (2), 892-919
- Convergence and cycling in walker-type saddle search algorithms (2017)
SIAM Journal on Numerical Analysis, 55 (5), 2204-2227
- Electronic density of states for incommensurate layers (2017)
Multiscale Modeling and Simulation, 15 (1), 476-499
- Locality of the Thomas–Fermi–von Weizsäcker Equations (2017)
Archive for Rational Mechanics and Analysis, 224 (3), 817-870
- Polytypism in the ground state structure of the Lennard-Jonesium (2017)
Physical Chemistry Chemical Physics, 19 (29), 19369-19376
- QM/MM methods for crystalline defects. part 2: Consistent energy and force-mixing (2017)
Multiscale Modeling and Simulation, 15 (1), 184-214
- Regularity and locality of point defects in multilattices (2017)
Applied Mathematics Research eXpress, 2017 (2), 297-337
- A dimer-type Saddle search algorithm withpreconditioning and linesearch (2016)
Mathematics of Computation, 85 (302), 2939-2966
- A universal preconditioner for simulating condensed phase materials (2016)
Journal of Chemical Physics, 144 (16)
- Analysis of blended atomistic/continuum hybrid methods (2016)
Numerische Mathematik, 134 (2), 275-326
- Analysis of Boundary Conditions for Crystal Defect Atomistic Simulations (2016)
Archive for Rational Mechanics and Analysis, 222 (3), 1217-1268
- Atomistic/continuum blending with ghost force correction (2016)
SIAM Journal on Scientific Computing, 38 (1), A346-A375
- QM/MM methods for crystalline defects. Part 1: Locality of the tight binding model (2016)
Multiscale Modeling and Simulation, 14 (1), 232-264
- Analysis of stable screw dislocation configurations in an antiplane lattice model (2015)
SIAM Journal on Mathematical Analysis, 47 (1), 291-320
- A posteriori error control for a quasi-continuum approximation of a periodic chain (2014)
IMA Journal of Numerical Analysis, 34 (3), 977-1001
- An approach to nonlinear viscoelasticity via metric gradient flows (2014)
SIAM Journal on Mathematical Analysis, 46 (2), 1317-1347
- Energy-based atomistic-to-continuum coupling without ghost forces (2014)
Computer Methods in Applied Mechanics and Engineering, 279, 29-45
- Existence and Stability of a Screw Dislocation under Anti-Plane Deformation (2014)
Archive for Rational Mechanics and Analysis, 213 (3), 887-929
- Theory-based benchmarking of the blended force-based quasicontinuum method (2014)
Computer Methods in Applied Mechanics and Engineering, 268, 763-781
- An adaptive finite element approximation of a generalized Ambrosio-Tortorelli functional (2013)
Mathematical Models and Methods in Applied Sciences, 23 (9), 1663-1697
- An analysis of the boundary layer in the 1D surface Cauchy–Born model (2013)
Mathematical Modelling and Numerical Analysis, 47 (1), 109-123
- Analysis of an energy-based atomistic/continuum approximation of a vacancy in the 2d triangular lattice (2013)
Mathematics of Computation, 82 (284), 2191-2236
- Atomistic-to-continuum coupling (2013)
Acta Numerica, 22, 397-508
- Atomistic-to-continuum coupling approximation of a one-dimensional toy model for density functional theory (2013)
Multiscale Modeling and Simulation, 11 (1), 59-91
- Formulation and optimization of the energy-based blended quasicontinuum method (2013)
Computer Methods in Applied Mechanics and Engineering, 253, 160-168
- Justification of the Cauchy-Born Approximation of Elastodynamics (2013)
Archive for Rational Mechanics and Analysis, 207 (3), 1025-1073
- Symmetries of 2-lattices and second order accuracy of the Cauchy-Born model (2013)
Multiscale Modeling and Simulation, 11 (2), 615-634
- Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: A two-dimensional model problem (2012)
SIAM Journal on Numerical Analysis, 50 (6), 2940-2965
- On the stability of Bravais lattices and their Cauchy-Born approximations (2012)
ESAIM: Mathematical Modelling and Numerical Analysis, 46 (1), 81-110
- Positive definiteness of the blended force-based quasicontinuum method (2012)
Multiscale Modeling and Simulation, 10 (3), 1023-1045
- Stress-based atomistic/continuum coupling: A new variant of the quasicontinuum approximation (2012)
International Journal for Multiscale Computational Engineering, 10 (1), 51-64
- The role of the patch test in 2D atomistic-to-continuum coupling methods (2012)
ESAIM: Mathematical Modelling and Numerical Analysis, 46 (6), 1275-1319
- The spectrum of the force-based quasicontinuum operator for a homogeneous periodic chain (2012)
Multiscale Modeling and Simulation, 10 (3), 744-765
- A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D (2011)
Mathematics of Computation, 80 (275), 1265-1285
- A priori error analysis of two force-based atomistic/continuum models of a periodic chain (2011)
Numerische Mathematik, 119 (1), 83-121
- A priori error estimates for energy-based quasicontinuum approximations of a periodic Chain (2011)
Mathematical Models and Methods in Applied Sciences, 21 (12), 2491-2521
- A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state (2011)
Numerische Mathematik, 118 (3), 587-600
- Adaptive finite element approximation of the Francfort-Marigo model of brittle fracture (2011)
Springer Optimization and Its Applications, 42, 297-310
- Iterative methods for the force-based quasicontinuum approximation: Analysis of a 1D model problem (2011)
Computer Methods in Applied Mechanics and Engineering, 200 (37-40), 2697-2709
- Nonconforming finite-element discretization of convex variational problems (2011)
IMA Journal of Numerical Analysis, 31 (3), 847-864
- On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems (2011)
SIAM Journal on Numerical Analysis, 49 (1), 346-367
- Robust a priori and a posteriori error analysis for the approximation of allen-cahn and ginzburg-landau equations past topological changes (2011)
SIAM Journal on Numerical Analysis, 49 (1), 110-134
- Accuracy of quasicontinuum approximations near instabilities (2010)
Journal of the Mechanics and Physics of Solids, 58 (10), 1741-1757
- An adaptive finite element approximation of a variational model of brittle fracture (2010)
SIAM Journal on Numerical Analysis, 48 (3), 980-1012
- Analysis of a Class of Penalty Methods for Computing Singular Minimizers (2010)
Computational Methods in Applied Mathematics, 10 (2), 137-163
- Convergence of simple adaptive Galerkin schemes based on h - h/2 error estimators (2010)
Numerische Mathematik, 116 (2), 291-316
- Existence and convergence results for the galerkin approximation of an electronic density functional (2010)
Mathematical Models and Methods in Applied Sciences, 20 (12), 2237-2265
- Existence of solutions to a regularized model of dynamic fracture (2010)
Mathematical Models and Methods in Applied Sciences, 20 (7), 1021-1048
- Sharp stability estimates for the force-based quasicontinuum approximation of homogeneous tensile deformation (2010)
Multiscale Modeling and Simulation, 8 (3), 782-802
- Stability, Instability, and Error of the Force-based Quasicontinuum Approximation (2010)
Archive for Rational Mechanics and Analysis, 197 (1), 179-202
- An analysis of node-based cluster summation rules in the quasicontinuum method (2009)
SIAM Journal on Numerical Analysis, 47 (4), 3070-3086
- Compact embeddings of broken Sobolev spaces and applications (2009)
IMA Journal of Numerical Analysis, 29 (4), 827-855
- Analysis of a quasicontinuum method in one dimension (2008)
Mathematical Modelling and Numerical Analysis, 42 (1), 57-91
- Quasi-static crack propagation by Griffith's criterion (2008)
Mathematical Models and Methods in Applied Sciences, 18 (11), 1895-1925
- Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems (2007)
SIAM Journal on Numerical Analysis, 45 (4), 1370-1397
- Gradient flows as a selection procedure for equilibria of nonconvex energies (2006)
SIAM Journal on Mathematical Analysis, 38 (4), 1214-1234