Search Results - "Lew, Adrian J."

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  1. 1

    Universal meshes: A method for triangulating planar curved domains immersed in nonconforming meshes by Rangarajan, Ramsharan, Lew, Adrián J.

    “…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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    Journal Article
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    Assembly of finite element methods on graphics processors by Cecka, Cris, Lew, Adrian J., Darve, E.

    “…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 by Shu, Yi, Galles, Daniel, Tertuliano, Ottman A., McWilliams, Brandon A., Yang, Nancy, Cai, Wei, Lew, Adrian J.

    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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  4. 4

    Temperature field optimization for laser powder bed fusion as a traveling salesperson problem with history by Wang, Gradey, Darve, Eric, Lew, Adrian J.

    “…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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  5. 5

    A hybridizable discontinuous Galerkin formulation for non-linear elasticity by Kabaria, Hardik, Lew, Adrian J., Cockburn, Bernardo

    “…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 by Hunsweck, Michael J., Shen, Yongxing, Lew, Adrian J.

    “…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 by Kabaria, Hardik, Lew, Adrian J.

    “…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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    Mapped finite element methods: High‐order approximations of problems on domains with cracks and corners by Chiaramonte, Maurizio M., Shen, Yongxing, Lew, Adrian J.

    “…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 by Shen, Yongxing, Lew, Adrian J.

    “…•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 by Grossman‐Ponemon, Benjamin E., Keer, Leon M., Lew, Adrian J.

    “…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 by Gawlik, Evan S., Lew, Adrian J.

    “…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 by Rangarajan, Ramsharan, Chiaramonte, Maurizio M., Hunsweck, Michael J., Shen, Yongxing, Lew, Adrian J.

    “…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 by Grossman‐Ponemon, Benjamin E., Lew, Adrian J.

    “…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 by Grossman‐Ponemon, Benjamin E., Heimisson, Elías R., Lew, Adrian J., Segall, Paul

    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 by Chiaramonte, Maurizio M., Shen, Yongxing, Keer, Leon M., Lew, Adrian J.

    “…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 by Gawlik, Evan S., Kabaria, Hardik, Lew, Adrian J.

    “…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 by RANGARAJAN, RAMSHARAN, LEW, ADRIAN J.

    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 by Lew, Adrián J., Buscaglia, Gustavo C.

    “…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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