## Multiparameter Optimization with a Least-Squares Objective

##### Friedrich Maier October 19, 2017

Optimization is an efficient way to gain deeper knowledge of a model. Much like the different flowers in a colorful bouquet, you can perform a variety of different optimization projects using the Optimization Module. However, parameter estimation is also a widely used technique. Such an analysis is usually set as a least-squares problem based on measured data, but for a clear and unique answer, you might need multiple measurements. Today, learn how to estimate parameters using a multiparameter data set.

Read More##### Caty Fairclough September 12, 2017

When thinking about natural selection, antennas are probably not the first thing that comes to mind. But with genetic algorithms, we can use the basic principles of natural selection to solve antenna optimization problems. For example, genetic algorithms enabled one research group to optimize the geometry of an optical antenna. They implemented their study by using LiveLink™ for MATLAB®, an add-on product to the COMSOL Multiphysics® software.

Read More##### Bridget Cunningham August 28, 2017

Pipelines are used to transport petroleum products and natural gas across long distances in cold environments. Because of this, petroleum mixtures may need to be preheated after being transported in pipelines before a refining process can begin. However, as the oil is pumped through the pipeline, heat is generated from the fluid itself as it flows. To keep costs down and the heat inside the pipe, the pipeline insulation can be optimized using models and simulation.

Read More##### Walter Frei April 20, 2017

When designing electromagnetic coils, we may want to adjust the position of the coils to achieve a desired magnetic field strength within a particular region of space. This is possible to do within the COMSOL Multiphysics® software by using the add-on AC/DC Module and Optimization Module to combine parameter and shape optimization. Let’s find out how.

Read More##### Walter Frei April 10, 2017

If you design electromagnetic coils, the combination of the AC/DC and Optimization modules with the COMSOL Multiphysics® software gives you the power to quickly come up with improved design iterations. Today, we will look at designing a coil system to achieve a desired magnetic field distribution by changing the coil’s driving currents. We will also introduce three different optimization objectives and constraints. This topic is of interest to anyone who is modeling coils or curious about optimization.

Read More##### Hanna Gothäll February 1, 2017

Topology optimization can be a useful step in your design process, but the generated designs often require further analysis. With the COMSOL Multiphysics® software, you can create geometries out of your topology optimization result plots and easily export them to CAD software. In this blog post, we discuss how to do so, using both 2D and 3D examples.

Read More##### Guest René Christensen November 3, 2016

Today, guest blogger René Christensen of GN ReSound discusses the importance of acoustic topology optimization and how to apply it in COMSOL Multiphysics. Topology optimization is a powerful tool that enables engineers to find optimal solutions to problems related to their applications. Here, we’ll take a closer look at topology optimization as it relates to acoustics and how we optimally distribute acoustic media to obtain a desired response. Several examples will further illustrate the potential of this optimization technique.

Read More##### Bridget Cunningham March 1, 2016

When diagnosed with end-stage renal disease (ESRD), a form of permanent kidney failure, patients must undergo dialysis to replace the blood cleaning function of kidneys. Dialysis requires vascular access, a process where blood is removed, purified, and returned to the patient’s vasculature. Current methods for providing access, however, suffer from high failure rates. Combining CFD simulations with shape optimization techniques provides a way to better understand and predict such failure.

Read More##### Walter Frei December 29, 2015

While designing a structure, have you ever been unsure of how to achieve the best shape? If so, then you will want to add a useful technique called shape optimization to your COMSOL Multiphysics modeling skill set. Today, we will discuss the concept of shape optimization and demonstrate its use through a classical problem.

Read More##### Walter Frei December 24, 2015

In this blog post, we will introduce the concept of shape optimization for adjusting part dimensions by using analytic sensitivity methods. If you have a single objective function that you want to improve, a set of geometric parameters that you want to change, as well as a set of constraints, then you can use the functionality of the Optimization Module and the Deformed Geometry interface in COMSOL Multiphysics to find the optimal structure without any remeshing. Let’s find out how!

Read More##### Aditi Karandikar December 23, 2015

3D printing, also known as additive manufacturing, has been a popular topic of discussion on the COMSOL Blog and throughout the scientific community. New initiatives have furthered the capabilities of this technology, while extending its reach in various fields of research, manufacturing, and design. With the help of COMSOL Multiphysics, researchers at the Netherlands Organization for Applied Scientific Research (TNO) are investigating the promise of 3D printing in the realm of material design.

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