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000760246 019__ $$a957464860$$a957607622$$a957680526$$a957740169$$a959595642$$a961002348$$a961250343
000760246 020__ $$a9783319412467$$q(electronic book)
000760246 020__ $$a3319412469$$q(electronic book)
000760246 020__ $$z9783319412450
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000760246 0247_ $$a10.1007/978-3-319-41246-7$$2doi
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000760246 24500 $$aAdvances in discretization methods :$$bdiscontinuities, virtual elements, fictitious domain methods /$$cedited by Giulio Ventura, Elena Benvenuti, editors.
000760246 264_1 $$aCham, Switzerland :$$bSpringer,$$c2016.
000760246 300__ $$a1 online resource (viii, 269 pages) :$$billustrations.
000760246 336__ $$atext$$btxt$$2rdacontent
000760246 337__ $$acomputer$$bc$$2rdamedia
000760246 338__ $$aonline resource$$bcr$$2rdacarrier
000760246 4901_ $$aSEMA SIMAI Springer Series,$$x2199-3041 ;$$vvolume 12
000760246 5050_ $$aPreface; Contents; Part I Enriched Methods for Flow and Mechanics in Heterogeneous Media; A Mixed Finite Element Method for Modeling the Fluid Exchange Between Microcirculation and Tissue Interstitium; 1 Introduction; 2 Model Set Up; 3 Variational Formulation; 4 Numerical Approximation; 4.1 Algebraic Formulation; 5 Numerical Experiments; 5.1 Coupled 3D-1D Problem on a Single Branch; 5.1.1 Numerical Results; 5.2 Coupled 3D-1D Problem on a Y-Shaped Bifurcation; 5.2.1 Numerical Results; 6 Conclusions; References; On a PDE-Constrained Optimization Approach for Flow Simulations in Fractured Media
000760246 5058_ $$a1 Introduction2 Problem Formulation; 3 A PDE-Constrained Optimization Approach; 3.1 Discretization Strategies; 4 Numerical Results; 4.1 Flow in Complex DFNs; 4.2 Unsteady Flow in DFNs; References; A Review of the XFEM-Based Approximation of Flow in Fractured Porous Media; 1 Introduction; 2 Governing Equations; 2.1 Equi-Dimensional Models; 2.1.1 Dual Formulation; 2.1.2 Primal Formulation; 2.2 Hybrid-Dimensional Models; 2.2.1 Dual Formulation; 2.2.2 Primal Formulation; 2.3 Branching and Intersections; 2.3.1 Assuming Pressure Continuity; 2.3.2 Robin Boundary Conditions
000760246 5058_ $$a2.3.3 Dual Formulation for X-Shaped Intersections2.4 Boundary Conditions; 2.4.1 Dirichlet Conditions for Fractured Porous Media; 2.4.2 Boundary and Coupling Conditions for Fracture Tips; 3 Numerical Discretization by Means of XFEM; 3.1 Modification and Addition of Basis Functions; 3.2 Primal Formulation with XFEM; 3.3 Dual Mixed Formulation; 3.4 Fracture Grids and Approximation of the Coupling Terms; 3.5 Basis Function Enrichment Around Fracture Tips; 4 Solvers; 4.1 Conditioning; 4.2 Iterative Approaches; 5 Conclusions; References
000760246 5058_ $$aPart II Enhanced Finite Element Formulations for Fracture and Interface ProblemsModeling of Fracture in Polycrystalline Materials; 1 Introduction; 2 Problem Statement; 2.1 Balance of Linear Momentum for a Fractured Body; 2.2 Constitutive Equations for Finite Deformations Crystal Plasticity; 2.3 Continuum Damage Mechanics Coupled to Crystal Plasticity; 2.4 Non-Local Extension of the GTN Model; 2.5 Weak Form of the Resulting Boundary Value Problem; 3 Discretisation of the Boundary Value Problem with the XFEM; 4 Quasistatic Crack Propagation with the XFEM; 4.1 Crack Propagation Criterion
000760246 5058_ $$a4.2 Reconstruction of the Fracture Surface4.2.1 Level Set Update by Solving a Hamilton-Jacobi Equation; 4.2.2 Global Crack Tracking Algorithm; 4.2.3 Accuracy of the Two Methods; 4.3 Crack Propagation Algorithm; 5 Numerical Examples; 5.1 Verification of the Non-Local Damage Formulation; 5.2 Crack Propagation in Crystals; 6 Conclusions; References; eXtended Hybridizable Discontinuous Galerkin (X-HDG) for Void and Bimaterial Problems; 1 Introduction; 2 X-HDG Formulation for Void Problems; 2.1 Local Problem for Standard Elements; 2.2 Local Problem for a Cut Element; 2.3 Global Problem
000760246 506__ $$aAccess limited to authorized users.
000760246 650_0 $$aDiscontinuous groups.
000760246 7001_ $$aVentura, Giulio,$$eeditor.
000760246 7001_ $$aBenvenuti, Elena,$$eeditor.
000760246 77608 $$iPrint version:$$z9783319412450$$z3319412450$$w(OCoLC)950952615
000760246 830_0 $$aSEMA SIMAI Springer series ;$$vvolume 12.
000760246 85280 $$bebk$$hSpringerLink
000760246 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-41246-7$$zOnline Access$$91397441.1
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