We investigate adaptive methods for optimal control problems with finitely many control parameters. We analyze a-posteriori error estimates based on verification of second-order sufficient optimality conditions. Reliability and efficiency of the error estimator is shown. The estimator is used in numerical tests to guide adaptive mesh refinement.

The weighted essentially non-oscillatory (WENO) methods are a popular high-order spatial discretization for hyperbolic partial differential equations. Typical treatments of WENO methods assume a uniform mesh. In this paper we give explicit formulas for the finite-volume, fifth-orderWENO (WENO5) method on non-uniform meshes in a way that is amenable to efficient implementation. We then compare t...

We present a framework for modeling a dry geophysical mass of granular material – a debris or volcanic avalanche or landslide – flowing over an erodible surface. We also describe a computing environment that incorporates topographical data into a parallel, adaptive mesh computational algorithm that solves the model equations.

The high spatial resolution needed in self-consistent particle simulations can be achieved using adaptive mesh refinement techniques (AMR). In this paper the code SMOVE which is based on such an adaptive mesh is presented. It allows for accurate simulations with a high spatial resolution in the vicinity of the particle bunches. Furthermore, it offers the possibility of simulating long accelerat...

A new adjoint sensitivity analysis approach is presented for time-dependent partial differential equations with adaptive mesh refinement. The new approach, called ADDA, combines the best features of both the adjoint of the discretization (AD) and discretization of the adjoint (DA) approaches. It removes the obstacles of applying AD to adaptive methods and, in contrast to DA, requires for its us...

Our multiscale air quality modeling activities are reviewed. Two different techniques, static grid nesting and dynamic grid adaptions are discussed. The mass conservation and transportive properties of our grid nesting technique are shown in a linear advection problem. Results from an air quality application to the northeastern U.S. are also presented. The solution accuracy with the adaptive gr...

We report the results from experiments on the convergence of the multimaterial mesh-based surface tracking method introduced by the same authors. Under mesh refinement, approximately first order convergence or higher in L1 and L2 is shown for vertex positions, face normals and non-manifold junction curves in a number of scenarios involving the new operations proposed in the method.

Existing grid applications commonly use workflows for the orchestration of grid services. Existing workflow models however suffer from the lack of adaptivity. In this paper we define Adaptive Grid Workflow nets (AGWF nets) appropriate for modeling grid workflows and allowing changes in the process structure as a response to triggering events/exceptions. Moreover, a recursion is allowed, which m...

Spring Simulation Multi-Conference 2016 April 3-6, Pasadena, CA, USA c ©2016 Society for Modeling & Simulation International (SCS) ABSTRACT Query-driven analytics on scientific datasets is one of fundamental approaches for scientific discoveries. Existing studies have explored query-driven analytics on uniform resolution meshes. However, querying on adaptive mesh refinement (AMR) data has not b...