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An H1(Ph)-Coercive Discontinuous Galerkin Formulation for The Poisson Problem: 1-D Analysis

Van der Zee, K.G. (author), Van Brummelen, E.H. (author), De Borst, R. (author)

Coercivity of the bilinear form in a continuum variational problem is a fundamental property for finite-element discretizations: By the classical Lax–Milgram theorem, any conforming discretization of a coercive variational problem is stable; i.e., discrete approximations are well-posed and possess unique solutions, irrespective of the specifics...

journal article 2006

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Dual-based a-posteriori error estimation for fluid-structure interaction by the embedded-domain method

Van der Zee, K.G. (author), Van Brummelen, E.H. (author), De Borst, R. (author)

Numerical simulations of fluid-structure interaction typically require vast computational resources. Finite-element techniques employing goal-oriented hp-adaptation strategies could offer a substantial improvement in the efficiency of such simulations. These strategies rely on dual-based a-posteriori error estimates for quantities of interest....

conference paper 2006

document

Dual-based a-posteriori error estimation for fluid-structure interaction by the embedded-domain method

Van der Zee, K.G. (author), Van Brummelen, E.H. (author), De Borst, R. (author)

Numerical simulations of fluid-structure interaction typically require vast computational resources. Finite-element techniques employing goal-oriented hp-adaptation strategies could offer a substantial improvement in the efficiency of such simulations. These strategies rely on dual-based a-posteriori error estimates for quantities of interest....

conference paper 2006

document

Space/Time Multigrid for a Fluid-Structure-Interaction Problem

Van Brummelen, E.H. (author), Van der Zee, K.G. (author), De Borst, R. (author)

The basic iterative method for solving fluid-structure-interaction problems is a defect-correction process based on a partitioning of the underlying operator into a fluid part and a structural part. In the present work we establish for a prototypical model problem that this defect-correction process yields an excellent smoother for multigrid, on...

report 2006

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A plane stress softening plasticity model for orthotropic materials

Lourenco, P.B. (author), De Borst, R. (author), Rots, J.G. (author)

journal article 1997

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An interface element for modelling the onset and growth of mixed-mode cracking in aluminium and fibre metal laminates

Hashagen, F. (author), De Borst, R. (author)

journal article 1997

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Three-dimensional finite element analysis of tunnels and foundations. (Analyse tridimensionnelle aux elements finis de tunnels et de fondations)

Groen, A.E. (author), De Borst, R. (author)

journal article 1997

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Uncoupled numerical method for fracture analysis

Van Vroonhoven, J.C.W. (author), De Borst, R. (author)

journal article 1997

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A gradient-enhanced damage approach to fracture

De Borst, R. (author), Benallal, A. (author), Heeres, O.M. (author)

journal article 1996

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Some observations on localisation in non-local and gradient damage models

Peerlings, R.H.J. (author), De Borst, R. (author), Brekelmans, W.A.M. (author), De Vree, J.H.P. (author), Spee, I. (author)

journal article 1996

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Gradient plasticity in numerical simulation of concrete cracking

De Borst, R. (author), Pamin, J. (author)

journal article 1996

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Some observations on element performance in isochoric and dilatant plastic flow

De Borst, R. (author), Groen, A.E. (author)

journal article 1995

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An algorithm for mesh rezoning with application to strain localization problems

Gutierrez, M.A. (author), De Borst, R. (author), Schellekens, J.C.J. (author), Sluys, L.J. (author)

journal article 1995

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Stochastic approaches for damage evolution in standard and non-standard continua

Carmeliet, J. (author), De Borst, R. (author)

journal article 1995

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On gradient-enhanced damage and plasticity models for failure in quasi-brittle and frictional materials

De Borst, R. (author), Pamin, J. (author), Peerlings, R.H.J. (author), Sluys, L.J. (author)

journal article 1995

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Discretization influence in strain-softening problems

Sluys, L.J. (author), Cauven, M. (author), De Borst, R. (author)

journal article 1995

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A survey of plasticity and damage-based models for FE analysis of fracture in concrete

Feenstra, P.H. (author), De Borst, R. (author)

conference paper 1995

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Finite element procedure for modelling fibre metal laminates

Hashagen, F. (author), Schellekens, J.C.J. (author), De Borst, R. (author), Parisch, H. (author)

journal article 1995

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A gradient plasticity approach to finite element predictions of soil instability

Pamin, J. (author), De Borst, R. (author)

journal article 1995

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Numerical simulation of localization phenomena using gradient plasticity anf finite elements

Pamin, J. (author), De Borst, R. (author)

journal article 1995