Search Results - "van der Zee, K. G."

Stabilized second-order convex splitting schemes for Cahn-Hilliard models with application to diffuse-interface tumor-growth models by Wu, X., van Zwieten, G. J., van der Zee, K. G.

“…SUMMARYWe present unconditionally energy‐stable second‐order time‐accurate schemes for diffuse‐interface (phase‐field) models; in particular, we consider the…”
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Isogeometric analysis-based goal-oriented error estimation for free-boundary problems by van der Zee, K.G., Verhoosel, C.V.

“…We consider goal-oriented error estimation for free-boundary problems using isogeometric analysis. Goal-oriented methods require the solution of the dual…”
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Projection in negative norms and the regularization of rough linear functionals by Millar, F., Muga, I., Rojas, S., Van der Zee, K. G.

“…In order to construct regularizations of continuous linear functionals acting on Sobolev spaces such as W 0 1 , q ( Ω ) , where 1 < q < ∞ and Ω  is a Lipschitz…”
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Goal-adaptive Isogeometric Analysis with hierarchical splines by Kuru, G., Verhoosel, C.V., van der Zee, K.G., van Brummelen, E.H.

“…•A goal-oriented error estimator using a p+1 spline dual discretization is proposed.•Two refinement indicators suitable for hierarchical splines are…”
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Goal-oriented error estimation for Stokes flow interacting with a flexible channel by van der Zee, K. G., van Brummelen, E. H., de Borst, R.

“…We develop a goal‐oriented error estimator for finite‐element discretizations of fluid–structure‐interaction problems. As a model problem, we consider the…”
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Duality-based two-level error estimation for time-dependent PDEs: Application to linear and nonlinear parabolic equations by Şimşek, G., Wu, X., van der Zee, K.G., van Brummelen, E.H.

“…We introduce a duality-based two-level error estimator for linear and nonlinear time-dependent problems. The error measure can be a space–time norm, energy…”
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Goal-oriented error estimation and adaptivity for fluid–structure interaction using exact linearized adjoints by van der Zee, K.G., van Brummelen, E.H., Akkerman, I., de Borst, R.

“…We develop duality-based a posteriori error estimates for functional outputs of solutions of steady fluid–structure-interaction problems. The crucial…”
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Discontinuities without discontinuity: The Weakly-enforced Slip Method by van Zwieten, G.J., van Brummelen, E.H., van der Zee, K.G., Gutiérrez, M.A., Hanssen, R.F.

“…Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However,…”
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Space/time multigrid for a fluid–structure-interaction problem by van Brummelen, E.H., van der Zee, K.G., de Borst, R.

“…The basic iterative method for solving fluid–structure-interaction problems is a defect-correction process based on a partitioning of the underlying operator…”
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A variational Germano approach for stabilized finite element methods by Akkerman, I., van der Zee, K.G., Hulshoff, S.J.

“…In this paper the recently introduced Variational Germano procedure is revisited. The procedure is explained using commutativity diagrams. A general Germano…”
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An ${H^1(\mathcal{P}^{\mathsf{h})}$‐Coercive Discontinuous Galerkin Formulation for the Poisson Problem: 1D Analysis by Van Der Zee, K. G., Van Brummelen, E. H., De Borst, R.

“…Coercivity of the bilinear form in a continuum variational problem is a fundamental property for finite-element discretizations: By the classical Lax-Milgram…”
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Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity by Farhat, Charbel, van der Zee, Kristoffer G., Geuzaine, Philippe

“…A methodology for designing formally second-order time-accurate and yet loosely-coupled partitioned procedures for the solution of nonlinear fluid–structure…”
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Discontinuities without discontinuity: The Weakly-enforced Slip Method by van Zwieten, G. J, van Brummelen, E. H, van der Zee, K. G, Gutiérrez, M. A, Hanssen, R. F

“…Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However,…”
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Goal-oriented error estimation and adaptivity for fluid-structure interaction using exact linearized adjoints: MODELING ERROR ESTIMATION AND ADAPTIVE MODELING by VAN DER ZEE, K. G, VAN BRUMMELEN, E. H, AKKERMAN, I, DE BORST, R

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An$H^1 (P^h )$-Coercive Discontinuous Galerkin Formulation for the Poisson Problem: 1D Analysis by Van Der Zee, K. G., Van Brummelen, E. H., De Borst, R.

“…Coercivity of the bilinear form in a continuum variational problem is a fundamental property for finite-element discretizations: By the classical Lax-Milgram…”
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AN H1(Ph)-COERCIVE DISCONTINUOUS GALERKIN FORMULATION FOR THE POISSON PROBLEM : ID ANALYSIS by VAN DER ZEE, K. G, VAN BRUMMELEN, E. H, DE BORST, R

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