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- Shankar Prasad Sastry, Suzanne M. Shontz, Stephen A. Vavasis
- Engineering with Computers
- 2012

The presence of a few inverted or poor-quality mesh elements can negatively affect the stability, convergence and efficiency of a finite element solver and the accuracy of the associated partial differential equation solution. We propose a mesh quality improvement and untangling method that untangles a mesh with inverted elements and improves its quality.â€¦ (More)

- Shankar Prasad Sastry, Suzanne M. Shontz
- Engineering with Computers
- 2014

The development of parallel algorithms for mesh generation, untangling, and quality improvement is of high importance due to the need for large meshes with millions to billions of elements and the availability of supercomputers with hundreds to thousands of cores. There have been prior efforts in the development of parallel algorithms for mesh generationâ€¦ (More)

- Shankar Prasad Sastry, Emre Kultursay, Suzanne M. Shontz, Mahmut T. Kandemir
- Engineering with Computers
- 2014

Solving partial differential equations using finite element (FE) methods for unstructured meshes that contain billions of elements is computationally a very challenging task. While parallel implementations can deliver a solution in a reasonable amount of time, they suffer from low cache utilization due to unstructured data access patterns. In this work, weâ€¦ (More)

Discretization methods, such as the finite element method, are commonly used in the solution of partial differential equations (PDEs). The accuracy of the computed solution to the PDE depends on the degree of the approximation scheme, the number of elements in the mesh [1], and the quality of the mesh [2, 3]. More specifically, it is known that as theâ€¦ (More)

- Kenneth I. Aycock, Robert L. D. Campbell, +4 authors Brent A. Craven
- Journal of biomechanical engineering
- 2014

A computational methodology for simulating virtual inferior vena cava (IVC) filter placement and IVC hemodynamics was developed and demonstrated in two patient-specific IVC geometries: a left-sided IVC and an IVC with a retroaortic left renal vein. An inverse analysis was performed to obtain the approximate in vivo stress state for each patient vein usingâ€¦ (More)

- T. James Lewis, Shankar Prasad Sastry, Robert Michael Kirby, Ross T. Whitaker
- 2015 IEEE 22nd International Conference on Highâ€¦
- 2015

The algebraic multigrid (AMG) method is often used as a preconditioner in Krylov subspace solvers such as the conjugate gradient method. An AMG preconditioner hierarchically aggregates the degrees of freedom during the coarsening phase in order to efficiently account for lower-frequency errors. Each degree of freedom in the coarser level corresponds to oneâ€¦ (More)

- Jonathan R. Bronson, Shankar Prasad Sastry, Joshua A. Levine, Ross T. Whitaker
- Procedia engineering
- 2014

We propose a new strategy for boundary conforming meshing that decouples the problem of building tetrahedra of proper size and shape from the problem of conforming to complex, non-manifold boundaries. This approach is motivated by the observation that while several methods exist for adaptive tetrahedral meshing, they typically have difficulty at geometricâ€¦ (More)

- Shankar P. Sastrya, Vidhi Zalaa, Robert M. Kirbya, Shankar Prasad Sastry
- 2015

High-order, curvilinear meshes have recently become popular due to their ability to conform to the geometry of the domain. Curvilinear meshes are generated by first constructing a straight-sided mesh and then curving the boundary elements (and, consequently, some of the interior edges and faces) to respect the geometry of the domain. The locations of theâ€¦ (More)

The presence of a few poor-quality mesh elements can negatively affect the stability and efficiency of a finite element solver and the accuracy of the associated partial differential equation solution. We propose a mesh quality improvement method that improves the quality of the worst elements. Mesh quality improvement of the worst elements can beâ€¦ (More)

- Jonathan R. Bronson, Shankar Prasad Sastry, +7 authors Ross T. Whitaker
- 2013

In tetrahedral mesh generation, the constraints imposed by adaptive element size, good tetrahedral quality (shape measured by some local metric), and material boundaries are often in conflict. Attempts to satisfy these conditions simultaneously frustrate many conventional approaches. We propose a new strategy for boundary conforming meshing that decouplesâ€¦ (More)