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Andreas Dedner | Robert Klöfkorn | Mario Ohlberger | Christian Engwer | Peter Bastian | Carsten Gräser | Dominic Kempf | Markus Blatt | Nils-Arne Dreier | Oliver Sander | René Fritze | Mario Ohlberger | C. Engwer | O. Sander | P. Bastian | A. Dedner | R. Klöfkorn | Carsten Gräser | Markus Blatt | D. Kempf | Nils-Arne Dreier | René Fritze
[1] P. Hansbo,et al. A finite element method for domain decomposition with non-matching grids , 2003 .
[2] C. M. Elliott,et al. Computation of geometric partial differential equations and mean curvature flow , 2005, Acta Numerica.
[3] Panayot S. Vassilevski,et al. Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids , 2003, Numerische Mathematik.
[4] Anders Logg,et al. Unified form language: A domain-specific language for weak formulations of partial differential equations , 2012, TOMS.
[5] 王东东,et al. Computer Methods in Applied Mechanics and Engineering , 2004 .
[6] Andreas Dedner,et al. A generic grid interface for parallel and adaptive scientific computing. Part I: abstract framework , 2008, Computing.
[7] T. Hughes. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods , 1995 .
[8] Luciano Teresi,et al. Navier-Stokes equations in a moving domain , 2006 .
[9] KretzMatthias,et al. Vc: A C++ library for explicit vectorization , 2012 .
[10] Peter Bastian,et al. An HPC Perspective on Generative Programming , 2019, 2019 IEEE/ACM 14th International Workshop on Software Engineering for Science (SE4Science).
[11] Stefan Turek,et al. Advances Concerning Multiscale Methods and Uncertainty Quantification in EXA-DUNE , 2016, Software for Exascale Computing.
[12] P. Alam,et al. R , 1823, The Herodotus Encyclopedia.
[13] Markus Blatt. A Parallel Algebraic Multigrid Method for Elliptic Problems with Highly Discontinuous Coefficients , 2010 .
[14] Thomas Y. Hou,et al. A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media , 1997 .
[15] Daniel Kressner,et al. Numerical Mathematics and Advanced Applications - ENUMATH 2013 - Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, Switzerland, August 2013 , 2015, ENUMATH.
[16] René Milk,et al. DUNE-multiscale (LSSC '15) , 2015 .
[17] Martin Jakob. A New Cement to Glue Nonconforming Grids with Robin Interface Conditions : The Finite Element Case , 2016 .
[18] Benedikt Oswald,et al. Dune-CurvilinearGrid: Parallel Dune Grid Manager for Unstructured Tetrahedral Curvilinear Meshes , 2016, ArXiv.
[19] Martin J. Gander,et al. Algorithm 932: PANG: Software for nonmatching grid projections in 2D and 3D with linear complexity , 2013, TOMS.
[20] Peter Bastian,et al. The Iterative Solver Template Library , 2006, PARA.
[21] Nicolai Schoch,et al. HiFlow3 – Technical Report on Release 2.0 , 2017 .
[22] Christoph Gersbacher. The Dune-PrismGrid Module , 2012 .
[23] Ben Schweizer,et al. An Adaptive Multiscale Finite Element Method , 2014, Multiscale Model. Simul..
[24] René Milk,et al. Extending DUNE: The dune-xt modules , 2016, ArXiv.
[25] Yalchin Efendiev,et al. Generalized multiscale finite element methods (GMsFEM) , 2013, J. Comput. Phys..
[26] T. Hughes,et al. The variational multiscale method—a paradigm for computational mechanics , 1998 .
[27] Benjamin S. Kirk,et al. Library for Parallel Adaptive Mesh Refinement / Coarsening Simulations , 2006 .
[28] Steffen Müthing,et al. The interface for functions in the dune-functions module , 2015, ArXiv.
[29] René Milk,et al. dune-gdt (LSSC '15) , 2015 .
[30] Anders Logg,et al. Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book , 2012 .
[31] Wim Vanroose,et al. Hiding global synchronization latency in the preconditioned Conjugate Gradient algorithm , 2014, Parallel Comput..
[32] Thomas Hérault,et al. An evaluation of User-Level Failure Mitigation support in MPI , 2012, Computing.
[33] Tom Henderson,et al. A general method for modeling on irregular grids , 2011, Int. J. High Perform. Comput. Appl..
[34] Ulrike Meier Yang,et al. On the use of relaxation parameters in hybrid smoothers , 2004, Numer. Linear Algebra Appl..
[35] Volker Lindenstruth,et al. Vc: A C++ library for explicit vectorization , 2012, Softw. Pract. Exp..
[36] E Weinan,et al. The Heterognous Multiscale Methods , 2003 .
[37] Steffen Müthing,et al. Automatic Code Generation for High-performance Discontinuous Galerkin Methods on Modern Architectures , 2018, ACM Trans. Math. Softw..
[38] M. Larson,et al. Adaptive Variational Multiscale Methods Based on A Posteriori Error Estimation: Duality Techniques for Elliptic Problems , 2005 .
[39] Andrew T. T. McRae,et al. A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake , 2016 .
[40] Yalchin Efendiev,et al. An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems , 2018, Multiscale Model. Simul..
[41] Mario Ohlberger. Error control based model reduction for multiscale problems , 2015 .
[42] Lisandro Dalcin,et al. Parallel distributed computing using Python , 2011 .
[43] Robert Klöfkorn,et al. hp–Adaptive Discontinuous Galerkin Methods for Porous Media Flow , 2017 .
[44] Mario Ohlberger,et al. True Error Control for the Localized Reduced Basis Method for Parabolic Problems , 2016, 1606.09216.
[45] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[46] Martin J. Gander,et al. A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Domain decomposition methods in science and engineering , 2005 .
[47] Peter Bastian,et al. On the generic parallelisation of iterative solvers for the finite element method , 2008, Int. J. Comput. Sci. Eng..
[48] Oliver Sander,et al. Solving primal plasticity increment problems in the time of a single predictor–corrector iteration , 2017, Computational Mechanics.
[49] Andreas Dedner,et al. On discontinuous Galerkin approach for atmospheric flow in the mesoscale with and without moisture , 2014 .
[50] P. Henning,et al. A localized orthogonal decomposition method for semi-linear elliptic problems , 2012, 1211.3551.
[51] Robert Scheichl,et al. Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems , 2012, Numer. Linear Algebra Appl..
[52] D. Barkley. A model for fast computer simulation of waves in excitable media , 1991 .
[53] Steffen Müthing,et al. Function space bases in the dune-functions module , 2018, ArXiv.
[54] Oliver Sander,et al. Truncated Nonsmooth Newton Multigrid Methods for Block-Separable Minimization Problems , 2017 .
[55] E Weinan,et al. The heterogeneous multiscale method* , 2012, Acta Numerica.
[56] Howard C. Elman,et al. Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics , 2014 .
[57] Ulrich Rüde,et al. A Massively Parallel Multigrid Method for Finite Elements , 2006, Computing in Science & Engineering.
[58] Timothy A. Davis,et al. Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method , 2004, TOMS.
[59] Oliver Sander,et al. The dune-subgrid module and some applications , 2009, Computing.
[60] Andreas Dedner,et al. Python Framework for HP Adaptive Discontinuous Galerkin Method for Two Phase Flow in Porous Media , 2018, Applied Mathematical Modelling.
[61] Matthias Kretz,et al. Extending C++ for explicit data-parallel programming via SIMD vector types , 2015 .
[62] Chunxiao Wu,et al. Multigrid Methods for Obstacle Problems , 2013 .
[63] Steffen Müthing,et al. High-performance Implementation of Matrix-free High-order Discontinuous Galerkin Methods , 2017, ArXiv.
[64] Michael J. Holst,et al. The Implementation of the Colored Abstract Simplicial Complex and Its Application to Mesh Generation , 2019, ACM Trans. Math. Softw..
[65] Robert Klöfkorn,et al. Distributed Newest Vertex Bisection , 2016, J. Parallel Distributed Comput..
[66] Andreas Dedner,et al. The Distributed and Unified Numerics Environment,Version 2.4 , 2016 .
[67] Gabriel Wittum,et al. UG 4: A novel flexible software system for simulating PDE based models on high performance computers , 2013, Comput. Vis. Sci..
[68] Bernard Haasdonk,et al. THE LOCALIZED REDUCED BASIS MULTISCALE METHOD , 2015 .
[69] Fred P. Brooks,et al. The Mythical Man-Month , 1975, Reliable Software.
[70] J. Henson,et al. Plasticity , 2010, Neurology.
[71] Peter Hansbo,et al. CutFEM: Discretizing geometry and partial differential equations , 2015 .
[72] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis , 2000 .
[73] Oliver Sander,et al. Infrastructure for the Coupling of Dune Grids , 2010 .
[74] Robert Klöfkorn,et al. Efficient matrix-free implementation of discontinuous Galerkin methods for compressible flow problems , 2015 .
[75] Carsten Burstedde,et al. p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees , 2011, SIAM J. Sci. Comput..
[76] Christian Engwer,et al. Dune-UDG: A Cut-Cell Framework for Unfitted Discontinuous Galerkin Methods , 2012 .
[77] Robert Klöfkorn,et al. A Weak Compatibility Condition for Newest Vertex Bisection in any dimension , 2017, SIAM J. Sci. Comput..
[78] Gebräuchliche Fertigarzneimittel,et al. V , 1893, Therapielexikon Neurologie.
[79] Steffen Müthing,et al. A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations , 2016, J. Comput. Phys..
[80] Mario Ohlberger,et al. A Posteriori Error Estimates for the Heterogeneous Multiscale Finite Element Method for Elliptic Homogenization Problems , 2005, Multiscale Model. Simul..
[81] H. Rentz-Reichert,et al. UG – A flexible software toolbox for solving partial differential equations , 1997 .
[82] Christian Wieners,et al. Numerical approximation of incremental infinitesimal gradient plasticity , 2009 .
[83] Yalchin Efendiev,et al. An adaptive GMsFEM for high-contrast flow problems , 2013, J. Comput. Phys..
[84] C. Engwer,et al. An unfitted finite element method using discontinuous Galerkin , 2009 .
[85] Christophe Geuzaine,et al. Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .
[86] Andreas Dedner,et al. Efficient multigrid preconditioners for atmospheric flow simulations at high aspect ratio , 2014, 1408.2981.
[87] Mario Ohlberger,et al. Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment , 2015, SIAM J. Sci. Comput..
[88] Gerhard Wellein,et al. A Unified Sparse Matrix Data Format for Efficient General Sparse Matrix-Vector Multiplication on Modern Processors with Wide SIMD Units , 2013, SIAM J. Sci. Comput..
[89] P. Henning,et al. Efficient implementation of the localized orthogonal decomposition method , 2016, Computer Methods in Applied Mechanics and Engineering.
[90] Mark S. Shephard,et al. Generic components for petascale adaptive unstructured mesh-based simulations , 2012, Engineering with Computers.
[91] Assyr Abdulle,et al. On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM , 2005, Multiscale Model. Simul..
[92] P. Alam. ‘S’ , 2021, Composites Engineering: An A–Z Guide.
[93] Andreas Dedner,et al. A generic grid interface for parallel and adaptive scientific computing. Part II: implementation and tests in DUNE , 2008, Computing.
[94] Andreas Dedner,et al. The DUNE-ALUGrid Module , 2014, ArXiv.
[95] Steffen Müthing,et al. Matrix-free multigrid block-preconditioners for higher order Discontinuous Galerkin discretisations , 2018, J. Comput. Phys..
[96] Stefan Turek,et al. Hardware-Based Efficiency Advances in the EXA-DUNE Project , 2016, Software for Exascale Computing.
[97] Frederick P. Brooks,et al. The Mythical Man-Month: Essays on Softw , 1978 .
[98] Andreas Dedner,et al. Continuous Finite-Elements on Non-Conforming Grids Using Discontinuous Galerkin Stabilization , 2014 .
[99] Robert Klöfkorn,et al. Performance Pitfalls in the Dune Grid Interface , 2012 .
[100] Dominic Kempf,et al. System testing in scientific numerical software frameworks using the example of DUNE , 2017 .
[101] Rainer Helmig,et al. A New Simulation Framework for Soil–Root Interaction, Evaporation, Root Growth, and Solute Transport , 2018, Vadose Zone Journal.
[102] Dominik Göddeke,et al. A High-Level C++ Approach to Manage Local Errors, Asynchrony and Faults in an MPI Application , 2018, 2018 26th Euromicro International Conference on Parallel, Distributed and Network-based Processing (PDP).
[103] Tsuyoshi Murata,et al. {m , 1934, ACML.
[104] Andreas Dedner,et al. The Dune Python Module , 2018, ArXiv.
[105] Daniel Peterseim,et al. Localization of elliptic multiscale problems , 2011, Math. Comput..
[106] Andrew T. T. McRae,et al. Firedrake: automating the finite element method by composing abstractions , 2015, ACM Trans. Math. Softw..
[107] Katharina Kormann,et al. Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators , 2017, ACM Trans. Math. Softw..
[108] Knut-Andreas Lie,et al. The Open Porous Media Flow Reservoir Simulator , 2019, Comput. Math. Appl..
[109] S. Orszag. Spectral methods for problems in complex geometries , 1980 .
[110] Andreas Dedner,et al. The Distributed and Unified Numerics Environment (DUNE) , 2006 .
[111] Kunibert G. Siebert,et al. Design of Adaptive Finite Element Software - The Finite Element Toolbox ALBERTA , 2005, Lecture Notes in Computational Science and Engineering.
[112] Robert Klöfkorn,et al. Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids , 2017, Computational Geosciences.
[113] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[114] David Wells,et al. The deal.II library, Version 9.1 , 2019, J. Num. Math..
[115] Ralf Kornhuber,et al. Numerical simulation of coarsening in binary solder alloys , 2014 .
[116] Andreas Klöckner,et al. Loo.py: transformation-based code generation for GPUs and CPUs , 2014, ARRAY@PLDI.
[117] Frédéric Hecht,et al. New development in freefem++ , 2012, J. Num. Math..
[118] Danna Zhou,et al. d. , 1840, Microbial pathogenesis.
[119] P. Alam. ‘A’ , 2021, Composites Engineering: An A–Z Guide.
[120] Christian Engwer,et al. Geometric Reconstruction of Implicitly Defined Surfaces and Domains with Topological Guarantees , 2017, ACM Trans. Math. Softw..
[121] Steffen Müthing,et al. A flexible framework for multi physics and multi domain PDE simulations , 2015 .
[122] Steffen Müthing,et al. Concepts for Flexible Parallel Multi-domain Simulations , 2016 .
[123] Oliver Sander,et al. The Dune FoamGrid implementation for surface and network grids , 2015, ArXiv.
[124] P. Alam,et al. H , 1887, High Explosives, Propellants, Pyrotechnics.
[125] Santiago Badia,et al. FEMPAR: An Object-Oriented Parallel Finite Element Framework , 2017, Archives of Computational Methods in Engineering.
[126] René Milk,et al. DUNE-mlmc (SPPEXA AnPleMeet '16) , 2015 .
[127] Axel Voigt,et al. AMDiS: adaptive multidimensional simulations , 2007 .
[128] Robert Klöfkorn,et al. Parallel Adaptive Simulation of PEM Fuel Cells , 2008 .
[129] Martin Beck,et al. DuMux 3 - an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling , 2019, Computers & Mathematics with Applications.
[130] Sebastian Götschel,et al. Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox , 2012 .
[131] Christian Engwer,et al. Scalable Hybrid Parallelization Strategies for the DUNE Grid Interface , 2013, ENUMATH.
[132] Steffen Müthing,et al. Integrating Multi-threading and Accelerators into DUNE-ISTL , 2013, ENUMATH.
[133] Aiqing Zhang,et al. JAUMIN: a programming framework for large-scale numerical simulation on unstructured meshes , 2019, CCF Trans. High Perform. Comput..
[134] E. Rank,et al. A multiscale finite-element method , 1997 .
[135] Bernard Haasdonk,et al. A Software Framework for Reduced Basis Methods Using Dune-RB and RBmatlab , 2012 .
[136] Anthony T. Patera,et al. Domain Decomposition by the Mortar Element Method , 1993 .
[137] Martin Kronbichler,et al. Scalability of high-performance PDE solvers , 2020, Int. J. High Perform. Comput. Appl..
[138] Andreas Dedner,et al. A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems , 2011, J. Sci. Comput..
[139] Thomas Hérault,et al. Failure Detection and Propagation in HPC systems , 2016, SC16: International Conference for High Performance Computing, Networking, Storage and Analysis.
[140] Stefan Turek,et al. EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications , 2014, Euro-Par Workshops.