A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state [PDF]
We analyze a finite element approximation of an elliptic optimal control problem with pointwise bounds on the gradient of the state variable. We derive convergence rates if the control space is discretized implicitly by the state equation. In contrast to
Ortner, Christoph +4 more
core +1 more source
Objective Youth who experience a sport‐related knee injury have elevated odds of becoming overweight or developing obesity in 3 to 10 years, compounding their risk for posttraumatic osteoarthritis (PTOA). To inform prevention strategies, this study compared patterns of adiposity change between youth with a sport‐related knee injury and uninjured youth ...
Justin M. Losciale +6 more
wiley +1 more source
Caregiver Perspectives on the Burden of Disease and Treatment in Uncontrolled Gout
Objective Uncontrolled gout (UG) refers to persistently elevated serum urate (SU) levels >6 mg/dL and ongoing gout symptoms despite use of urate‐lowering therapy (ULT). The objective of this study was to evaluate the burden associated with informal caregiving for individuals with UG.
Angelo Gaffo +6 more
wiley +1 more source
Regional data assimilation of multi-spectral MOPITT observations of CO over North America [PDF]
Chemical transport models (CTMs) driven with high-resolution meteorological fields can better resolve small-scale processes, such as frontal lifting or deep convection, and thus improve the simulation and emission estimates of tropospheric trace gases ...
Z. Jiang +5 more
doaj +1 more source
Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis [PDF]
We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite ...
Emmanuil H. Georgoulis +5 more
core
PASTA‐ELN: Simplifying Research Data Management for Experimental Materials Science
Research data management faces ongoing hurdles as many ELNs remain complex and restrictive. PASTA‐ELN offers an open‐source, cross‐platform solution that prioritizes simplicity, offline access, and user control. Its in tuitive folder structure, modular Python add‐ons, and open formats enable seamless documentation, FAIR data practices, and easy ...
S. Brinckmann, G. Winkens, R. Schwaiger
wiley +1 more source
Multiadaptive Galerkin methods for ODEs III: A priori error estimates
The multiadaptive continuous/discontinuous Galerkin methods mcG(q) and mdG(q) for the numerical solution of initial value problems for ordinary differential equations are based on piecewise polynomial approximation of degree q on partitions in time with ...
Logg, Anders,, Logg, Anders, Anders Logg
core +1 more source
Symmetry‐Guided Multifunctional Acoustic System Based on Mechanically Actuated Sonic Crystals
This study presents the design, simulation, and experimental validation of amultifunctional acoustic metamaterial based on rotationally engineered sonic crystals.By tuning cylinder orientations, controllable band gaps and six distinct functionalities—including switching, topological insulation, beam splitting, and logic operations—areachieved ...
Yuanyan Zhao +2 more
wiley +1 more source
A note on a priori error estimates for augmented mixed methods
In this note we describe a strategy that improves the a priori error bounds for augmented mixed methods under appropriate hypotheses. This means that we can derive a priori error estimates for each one of the involved unknowns.
Bustinza, Rommel +2 more
core +1 more source
A priori error estimates of regularized elliptic problems [PDF]
Approximations of the Dirac delta distribution are commonly used to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. In this work we show a-priori rates of convergence of this approximation process in
Heltai, Luca, Lei, Wenyu
core +1 more source

