We discuss automating the calculation of weak shape derivatives in the Unified Form Language (ACM TOMS 40(2):9:1– 9:37 2014) by introducing an appropriate additional step in the pullback from physical to reference space that computes Gateaux derivatives with respect to the coordinate field. We illustrate the ease of use with several examples
No presente trabalho se aborda o cálculo de forma usando o formalismo das formas diferenciais. Isso ...
summary:Automatic differentiation is an effective method for evaluating derivatives of function, whi...
During the last years, the necessity of optimizing the efficiency of structures, vehicles, etc. has ...
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (ACM TO...
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (JAMA 4...
Abstract. Simulation of many physical phenomena requires the numerical solution of non-linear partia...
We present the Unified Form Language (UFL), which is a domain-specific language for representing wea...
We present the Unified Form Language (UFL), which is a domain-specific language for representing wea...
We present the Unified Form Language (UFL), which is a domain-specific language for representing wea...
Abstract. A general framework for calculating shape derivatives for optimiza-tion problems with part...
In mathematics and computer algebra, automatic differentiation (AD) is a set of techniques to evalua...
Developing code for computing the first- and higher-order derivatives of a function by hand can be v...
Often the most robust and efficient algorithms for the solution of large-scale problems involving no...
We present the Unied Form Language (UFL), which is a domain-specic language for representing weak fo...
In comparison to symbolic differentiation and numerical differencing, the chain rule based technique...
No presente trabalho se aborda o cálculo de forma usando o formalismo das formas diferenciais. Isso ...
summary:Automatic differentiation is an effective method for evaluating derivatives of function, whi...
During the last years, the necessity of optimizing the efficiency of structures, vehicles, etc. has ...
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (ACM TO...
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (JAMA 4...
Abstract. Simulation of many physical phenomena requires the numerical solution of non-linear partia...
We present the Unified Form Language (UFL), which is a domain-specific language for representing wea...
We present the Unified Form Language (UFL), which is a domain-specific language for representing wea...
We present the Unified Form Language (UFL), which is a domain-specific language for representing wea...
Abstract. A general framework for calculating shape derivatives for optimiza-tion problems with part...
In mathematics and computer algebra, automatic differentiation (AD) is a set of techniques to evalua...
Developing code for computing the first- and higher-order derivatives of a function by hand can be v...
Often the most robust and efficient algorithms for the solution of large-scale problems involving no...
We present the Unied Form Language (UFL), which is a domain-specic language for representing weak fo...
In comparison to symbolic differentiation and numerical differencing, the chain rule based technique...
No presente trabalho se aborda o cálculo de forma usando o formalismo das formas diferenciais. Isso ...
summary:Automatic differentiation is an effective method for evaluating derivatives of function, whi...
During the last years, the necessity of optimizing the efficiency of structures, vehicles, etc. has ...