Search Results - "Lew, Adrian J."
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Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes
Published in International journal for numerical methods in engineering (27-04-2014)“…SUMMARY We introduce a new method to triangulate planar, curved domains that transforms a specific collection of triangles in a background mesh to conform to…”
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Assembly of finite element methods on graphics processors
Published in International journal for numerical methods in engineering (04-02-2011)“…Recently, graphics processing units (GPUs) have had great success in accelerating many numerical computations. We present their application to computations on…”
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A critical look at the prediction of the temperature field around a laser-induced melt pool on metallic substrates
Published in Scientific reports (09-06-2021)“…The study of microstructure evolution in additive manufacturing of metals would be aided by knowing the thermal history. Since temperature measurements beneath…”
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Temperature field optimization for laser powder bed fusion as a traveling salesperson problem with history
Published in International journal for numerical methods in engineering (30-01-2024)“…Laser Powder Bed Fusion (LPBF) is a form of metal additive manufacturing in which a laser traces a path on a metal powder bed to heat powder particles and…”
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A hybridizable discontinuous Galerkin formulation for non-linear elasticity
Published in Computer methods in applied mechanics and engineering (01-01-2015)“…We revisit the hybridizable discontinuous Galerkin method for non-linear elasticity introduced by S.-C. Soon (2008). We show that it can be recast as a…”
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A finite element approach to the simulation of hydraulic fractures with lag
Published in International journal for numerical and analytical methods in geomechanics (25-06-2013)“…Summary We presented a finite‐element‐based algorithm to simulate plane‐strain, straight hydraulic fractures in an impermeable elastic medium. The algorithm…”
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Universal meshes for smooth surfaces with no boundary in three dimensions
Published in International journal for numerical methods in engineering (08-06-2018)Get full text
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Universal meshes for smooth surfaces with no boundary in three dimensions
Published in International journal for numerical methods in engineering (13-04-2017)“…Summary We introduce a method to mesh the boundary Γ of a smooth, open domain in R3 immersed in a mesh of tetrahedra. The mesh follows by mapping a specific…”
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Response to “Comments on the paper by B. E. Grossman‐Ponemon, L. M. Keer, and A. J. Lew ‘A method to compute mixed‐mode stress intensity factors for nonplanar cracks in three dimensions’ (Int. J. Numer. Methods Eng., 2020)”
Published in International journal for numerical methods in engineering (15-07-2021)Get full text
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Mapped finite element methods: High‐order approximations of problems on domains with cracks and corners
Published in International journal for numerical methods in engineering (31-08-2017)“…Summary Linear elasticity problems posed on cracked domains, or domains with re‐entrant corners, yield singular solutions that deteriorate the optimality of…”
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A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids
Published in Computer methods in applied mechanics and engineering (01-05-2014)“…•We introduce an optimally convergent and locking-free XFEM for nearly incompressible solids.•It possesses an error bound that does not diverge as Poisson’s…”
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A method to compute mixed‐mode stress intensity factors for nonplanar cracks in three dimensions
Published in International journal for numerical methods in engineering (15-10-2020)“…Summary Methods to compute the stress intensity factors along a three‐dimensional (3D) crack front often display a tenuous rate of convergence under mesh…”
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High-order finite element methods for moving boundary problems with prescribed boundary evolution
Published in Computer methods in applied mechanics and engineering (15-08-2014)“…We introduce a framework for the design of finite element methods for two-dimensional moving boundary problems with prescribed boundary evolution that have…”
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Simulating curvilinear crack propagation in two dimensions with universal meshes
Published in International journal for numerical methods in engineering (20-04-2015)“…SummaryWe formulate a class of delicately controlled problems to model the kink‐free evolution of quasistatic cracks in brittle, isotropic, linearly elastic…”
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An algorithm for the simulation of curvilinear plane‐strain and axisymmetric hydraulic fractures with lag using the universal meshes
Published in International journal for numerical and analytical methods in geomechanics (25-04-2019)“…Summary We present an algorithm to simulate curvilinear hydraulic fractures in plane strain and axisymmetry. We restrict our attention to sharp fractures…”
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Logarithmic Growth of Dikes From a Depressurizing Magma Chamber
Published in Geophysical research letters (28-02-2020)“…Dike propagation is an intrinsically multiphase problem, where deformation and fluid flow are intricately coupled in a fracture process. Here we perform the…”
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Computing stress intensity factors for curvilinear cracks
Published in International journal for numerical methods in engineering (26-10-2015)“…Summary The use of the interaction integral to compute stress intensity factors around a crack tip requires selecting an auxiliary field and a material…”
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High-order methods for low Reynolds number flows around moving obstacles based on universal meshes
Published in International journal for numerical methods in engineering (16-11-2015)“…Summary We propose a family of methods for simulating two‐dimensional incompressible, low Reynolds number flow around a moving obstacle whose motion is…”
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ANALYSIS OF A METHOD TO PARAMETERIZE PLANAR CURVES IMMERSED IN TRIANGULATIONS
Published in SIAM journal on numerical analysis (01-01-2013)“…We prove that a planar C²-regular boundary Γ can always be parameterized with its closest point projection π over a certain collection of edges Γ h in an…”
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A discontinuous-Galerkin-based immersed boundary method
Published in International journal for numerical methods in engineering (22-10-2008)“…A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is introduced. The proposed method is…”
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