000			04525cam a2200481M 4500
001			ocn957607622
003			OCoLC
005			20231018171346.0
006			m o d
007			cr |n|||||||||
008			160901s2016 sz o 000 0 eng d
020			_a9783319412467 _q(electronic bk.)
020			_a3319412469 _q(electronic bk.)
020			_z9783319412450
020			_z3319412450
035			_a(OCoLC)957607622 _z(OCoLC)957464860 _z(OCoLC)957680526 _z(OCoLC)957740169
040			_aYDX _beng _cYDX _dN$T _dIDEBK _dEBLCP _dGW5XE _dN$T
049			_aMAIN
050		4	_aQA174.2
050		4	_aTA1-2040
072		7	_aMAT _x002040 _2bisacsh
082	0	4	_a512.2 _223 _bVEN
082	0	4	_a512.2
245	0	0	_aAdvances in discretization methods _h[electronic resource] : _bdiscontinuities, virtual elements, fictitious domain methods / _cGiulio Ventura, Elena Benvenuti, editors.
260			_aSwitzerland : _bSpringer, _c2016.
300			_a1 online resource.
490	1		_aSEMA SIMAI Springer Series, _x2199-3041 ; _vvolume 12.
505	0		_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.
505	8		_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.
505	8		_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.
505	8		_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.
505	8		_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.
506			_aAccess restricted to subscribing institutions.
538			_aMode of access: World Wide Web.
650		0	_aDiscontinuous groups.
700	1		_aVentura, Giulio, _eeditor.
700	1		_aBenvenuti, Elena, _eeditor.
710	2		_aSpringerLink (Online service)
830		0	_aSEMA SIMAI Springer series ; _vvolume 12.
856	4	0	_uhttps://ezproxy.lib.gla.ac.uk/login?url=https://link.springer.com/10.1007/978-3-319-41246-7 _zConnect to e-book
907			_a.b31739854
942			_2ddc _cPROJECT
999			_c40120 _d40120