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Balzani, Daniel (author), Heinlein, A. (author), Klawonn, Axel (author), Knepper, Jascha (author), Nurani Ramesh, Sharan (author), Rheinbach, Oliver (author), Saßmannshausen, Lea (author), Uhlmann, Klemens (author)A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial walls. A stretch-dependent smooth muscle model by Uhlmann and Balzani is modified to describe the interaction of pharmacological drugs and the inhibition of smooth...journal article 2024
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Kuai, H. (author), Civera, M. (author), Coletta, G. (author), Chiaia, B. (author), Surace, C. (author)In structural engineering, offshore structures are undoubtedly among the most exposed to the effects of harsh environmental conditions. The external conditions of these semi-immersed systems involve complex combinations of wave and wind loads. The operating conditions are also unique because oil production platforms are subjected to repeated...journal article 2024
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Heinlein, A. (author), Rheinbach, Oliver (author), Röver, Friederike (author)Multilevel extensions of overlapping Schwarz domain decomposition preconditioners of Generalized Dryja-Smith-Widlund (GDSW) type are considered in this paper. The original GDSW preconditioner is a two-level overlapping Schwarz domain decomposition preconditioner, which can be constructed algebraically from the fully assembled stiffness matrix...journal article 2023
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Jain, V. (author), Palha, A. (author), Gerritsma, M.I. (author)In this work we use algebraic dual spaces with a domain decomposition method to solve the Darcy equations. We define the broken Sobolev spaces and their finite dimensional counterparts. A global trace space is defined that connects the solution between the broken spaces. Use of algebraic dual spaces results in a sparse, metric-free...journal article 2023
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Heinlein, A. (author), Rheinbach, Oliver (author), Röver, Friederike (author)The parallel performance of the three-level fast and robust overlapping Schwarz (FROSch) preconditioners is investigated for linear elasticity. The FROSch framework is part of the Trilinos software library and contains a parallel implementation of different preconditioners with energy minimizing coarse spaces of generalized Dryja--Smith--Widlund...journal article 2022
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Heinlein, A. (author), Klawonn, Axel (author), Lanser, Martin (author)In this article, different nonlinear domain decomposition methods are applied to nonlinear problems with highly heterogeneous coefficient functions with jumps. In order to obtain a robust solver with respect to nonlinear as well as linear convergence, adaptive coarse spaces are employed. First, as an example for a nonlinearly left...journal article 2022
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Heinlein, A. (author), Perego, Mauro (author), Rajamanickam, Sivasankaran (author)Numerical simulations of Greenland and Antarctic ice sheets involve the solution of large-scale highly nonlinear systems of equations on complex shallow geometries. This work is concerned with the construction of Schwarz preconditioners for the solution of the associated tangent problems, which are challenging for solvers mainly because of...journal article 2022
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Heinlein, A. (author), Klawonn, Axel (author), Knepper, Jascha (author), Rheinbach, Oliver (author), Widlund, Olof B. (author)A new reduced-dimension adaptive generalized Dryja-Smith-Widlund (GDSW) overlapping Schwarz method for linear second-order elliptic problems in three dimensions is introduced. It is robust with respect to large contrasts of the coefficients of the partial differential equations. The condition number bound of the new method is shown to be...journal article 2022
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Mororó, L. A. T. (author), van der Meer, F.P. (author)The thick level set (TLS) method has been proposed as a nonlocal damage model for the modeling of failure in solids being able to deal with crack initiation, branching, and merging. The nonlocality of the TLS is achieved by introducing a characteristic length into the problem. This way, the TLS does not suffer from spurious localization in the...journal article 2021
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Zhang, Y. (author), Fisser, Joël (author), Gerritsma, M.I. (author)We introduce a domain decomposition structure-preserving method based on a hybrid mimetic spectral element method for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The method is an equilibrium method which satisfies pointwise equilibrium of forces. The domain decomposition is established through...journal article 2021
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Xiao, C. (author), Tian, Leng (author)This paper introduces an efficient surrogate model with the aim of accelerating joint estimation of subsurface geological properties and relative permeability parameters for high-dimensional inversion problems. We fully replace the high-fidelity model with a set of subdomain linear models through integrating model linearization with smooth...journal article 2020
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Xiao, C. (author), Leeuwenburgh, O. (author), Lin, H.X. (author), Heemink, A.W. (author)This paper presents a non-intrusive subdomain POD-TPWL (SD POD-TPWL) for reservoir history matching through integrating domain decomposition (DD), proper orthogonal decomposition (POD), radial basis function (RBF) interpolation, and the trajectory piecewise linearization (TPWL). It is an efficient approach for model reduction and linearization...journal article 2018
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Lloberas-Valls, O. (author), Everdij, F.P.X. (author), Rixen, D.J. (author), Simone, A. (author), Sluys, L.J. (author)In this contribution, dual and primal domain decomposition techniques are studied for the multiscale analysis of failure in quasi-brittle materials. The multiscale strategy essentially consists in decomposing the structure into a number of nonoverlapping domains and considering a refined spatial resolution where needed. In multiscale analysis of...conference paper 2014
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Lloberas-Valls, O. (author)Computational material design is progressively gaining momentum in the engineering world. Recent breakthroughs in high performance computing and emerging multiscale algorithms have facilitated the simulation of materials at different scales of observation. In particular, the multiscale study of failure phenomena becomes crucial to assess the...doctoral thesis 2013
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Lloberas Valls, O. (author), Everdij, F.P.X. (author), Rixen, D.J. (author), Simone, A. (author), Sluys, L.J. (author)The multiscale framework presented in [1, 2] is assessed in this contribution for a study of random heterogeneous materials. Results are compared to direct numerical simulations (DNS) and the sensitivity to user-defined parameters such as the domain decomposition type and initial coarse scale resolution is reported. The parallel performance of...conference paper 2013
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Lloberas Valls, O. (author), Everdij, F.P.X. (author), Rixen, D.J. (author), Simone, A. (author), Sluys, L.J. (author)Concurrent multiscale analysis of quasi-brittle heterogeneous materials such as concrete and rock is conducted employing non-overlapping domain decomposition techniques. Initially a coarse discretization with effective properties is considered at each domain. A zoom-in technique is performed at those domains in which non-linearities take place....conference paper 2012
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Collignon, T.P. (author)This dissertation deals mainly with the design, implementation, and analysis of efficient iterative solution methods for large sparse linear systems on distributed and heterogeneous computing systems as found in Grid computing. First, a case study is performed on iteratively solving large symmetric linear systems on both a multi–cluster and a...doctoral thesis 2011
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Van Esch, J.M. (author)Natural geological formations generally show multiscale structural and functional heterogeneity evolving over many orders of magnitude in space and time. In subsurface hydrological simulations the geological model focuses on the structural hierarchy of physical sub units and the flow model addresses the functional hierarchy of the flow process....doctoral thesis 2010
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Tang, J.M. (author), MacLachlan, S.P. (author), Nabben, R. (author), Vuik, C. (author)It is well known that two-level and multilevel preconditioned conjugate gradient (PCG) methods provide efficient techniques for solving large and sparse linear systems whose coefficient matrices are symmetric and positive definite. A two-level PCG method combines a traditional (one-level) preconditioner, such as incomplete Cholesky, with a...journal article 2010
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Lloberas Valls, O. (author), Rixen, D.J. (author), Simone, A. (author), Sluys, L.J. (author)In this contribution we describe a methodology for the study of softening brittle materials at different scales of observation. The goal is to account for a higher resolution at those areas that undergo the non-linear processes. We apply the FETI (Finite Element Tearing and Interconnecting) technique to glue different domain resolutions during...conference paper 2009
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